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Finding the Fourth Proportional to 12,000.14, 16,560.71 and 6,694.96

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Solution

The fourth proportional to 12,000.14, 16,560.71 and 6,694.96 is: 9,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.14 : 16,560.71 = 6,694.96 : x
  2. Step 2: Convert to fraction form
    12,000.14/16,560.71 = 6,694.96/x
  3. Step 3: Cross multiply
    12,000.14x = 16,560.71 × 6,694.96
  4. Step 4: Simplify right side
    12,000.14x = 110,873,174.74
  5. Step 5: Solve for x
    x = 110,873,174.74/12,000.14
  6. Step 6: Final answer
    x = 9,239.32

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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.