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Finding the Fourth Proportional to 12,472.61, 17,214.39 and 7,437.14

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Solution

The fourth proportional to 12,472.61, 17,214.39 and 7,437.14 is: 10,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.61 : 17,214.39 = 7,437.14 : x
  2. Step 2: Convert to fraction form
    12,472.61/17,214.39 = 7,437.14/x
  3. Step 3: Cross multiply
    12,472.61x = 17,214.39 × 7,437.14
  4. Step 4: Simplify right side
    12,472.61x = 128,025,828.44
  5. Step 5: Solve for x
    x = 128,025,828.44/12,472.61
  6. Step 6: Final answer
    x = 10,264.56

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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.