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Finding the Fourth Proportional to 12,174.54, 16,800.84 and 6,585.54

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Solution

The fourth proportional to 12,174.54, 16,800.84 and 6,585.54 is: 9,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.54 : 16,800.84 = 6,585.54 : x
  2. Step 2: Convert to fraction form
    12,174.54/16,800.84 = 6,585.54/x
  3. Step 3: Cross multiply
    12,174.54x = 16,800.84 × 6,585.54
  4. Step 4: Simplify right side
    12,174.54x = 110,642,603.85
  5. Step 5: Solve for x
    x = 110,642,603.85/12,174.54
  6. Step 6: Final answer
    x = 9,088.03

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Half scale
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Double scale
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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.