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Finding the Fourth Proportional to 12,174.08, 16,800.16 and 6,585.12

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Solution

The fourth proportional to 12,174.08, 16,800.16 and 6,585.12 is: 9,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.08 : 16,800.16 = 6,585.12 : x
  2. Step 2: Convert to fraction form
    12,174.08/16,800.16 = 6,585.12/x
  3. Step 3: Cross multiply
    12,174.08x = 16,800.16 × 6,585.12
  4. Step 4: Simplify right side
    12,174.08x = 110,631,069.62
  5. Step 5: Solve for x
    x = 110,631,069.62/12,174.08
  6. Step 6: Final answer
    x = 9,087.43

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.