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Finding the Fourth Proportional to 15,270.05, 22,892.08 and 6,947.15

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Solution

The fourth proportional to 15,270.05, 22,892.08 and 6,947.15 is: 10,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270.05 : 22,892.08 = 6,947.15 : x
  2. Step 2: Convert to fraction form
    15,270.05/22,892.08 = 6,947.15/x
  3. Step 3: Cross multiply
    15,270.05x = 22,892.08 × 6,947.15
  4. Step 4: Simplify right side
    15,270.05x = 159,034,564.38
  5. Step 5: Solve for x
    x = 159,034,564.38/15,270.05
  6. Step 6: Final answer
    x = 10,414.81

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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.