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Finding the Fourth Proportional to 12,807.71, 17,675.07 and 7,142.24

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Solution

The fourth proportional to 12,807.71, 17,675.07 and 7,142.24 is: 9,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.71 : 17,675.07 = 7,142.24 : x
  2. Step 2: Convert to fraction form
    12,807.71/17,675.07 = 7,142.24/x
  3. Step 3: Cross multiply
    12,807.71x = 17,675.07 × 7,142.24
  4. Step 4: Simplify right side
    12,807.71x = 126,239,591.96
  5. Step 5: Solve for x
    x = 126,239,591.96/12,807.71
  6. Step 6: Final answer
    x = 9,856.53

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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.