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Finding the Fourth Proportional to 11,407.68, 15,742.86 and 6,371.88

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Solution

The fourth proportional to 11,407.68, 15,742.86 and 6,371.88 is: 8,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.68 : 15,742.86 = 6,371.88 : x
  2. Step 2: Convert to fraction form
    11,407.68/15,742.86 = 6,371.88/x
  3. Step 3: Cross multiply
    11,407.68x = 15,742.86 × 6,371.88
  4. Step 4: Simplify right side
    11,407.68x = 100,311,614.78
  5. Step 5: Solve for x
    x = 100,311,614.78/11,407.68
  6. Step 6: Final answer
    x = 8,793.34

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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.