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Finding the Fourth Proportional to 12,425.68, 18,641.22 and 7,164.10

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Solution

The fourth proportional to 12,425.68, 18,641.22 and 7,164.10 is: 10,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.68 : 18,641.22 = 7,164.10 : x
  2. Step 2: Convert to fraction form
    12,425.68/18,641.22 = 7,164.10/x
  3. Step 3: Cross multiply
    12,425.68x = 18,641.22 × 7,164.10
  4. Step 4: Simplify right side
    12,425.68x = 133,547,564.20
  5. Step 5: Solve for x
    x = 133,547,564.20/12,425.68
  6. Step 6: Final answer
    x = 10,747.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.