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Finding the Fourth Proportional to 11,407.71, 15,742.64 and 6,932.90

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Solution

The fourth proportional to 11,407.71, 15,742.64 and 6,932.90 is: 9,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.71 : 15,742.64 = 6,932.90 : x
  2. Step 2: Convert to fraction form
    11,407.71/15,742.64 = 6,932.90/x
  3. Step 3: Cross multiply
    11,407.71x = 15,742.64 × 6,932.90
  4. Step 4: Simplify right side
    11,407.71x = 109,142,217.93
  5. Step 5: Solve for x
    x = 109,142,217.93/11,407.71
  6. Step 6: Final answer
    x = 9,567.41

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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.