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Finding the Fourth Proportional to 12,600.10, 17,387.13 and 7,295.14

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Solution

The fourth proportional to 12,600.10, 17,387.13 and 7,295.14 is: 10,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600.10 : 17,387.13 = 7,295.14 : x
  2. Step 2: Convert to fraction form
    12,600.10/17,387.13 = 7,295.14/x
  3. Step 3: Cross multiply
    12,600.10x = 17,387.13 × 7,295.14
  4. Step 4: Simplify right side
    12,600.10x = 126,841,547.55
  5. Step 5: Solve for x
    x = 126,841,547.55/12,600.10
  6. Step 6: Final answer
    x = 10,066.71

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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.