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Finding the Fourth Proportional to 11,472.64, 15,832.87 and 6,438.47

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Solution

The fourth proportional to 11,472.64, 15,832.87 and 6,438.47 is: 8,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.64 : 15,832.87 = 6,438.47 : x
  2. Step 2: Convert to fraction form
    11,472.64/15,832.87 = 6,438.47/x
  3. Step 3: Cross multiply
    11,472.64x = 15,832.87 × 6,438.47
  4. Step 4: Simplify right side
    11,472.64x = 101,939,363.25
  5. Step 5: Solve for x
    x = 101,939,363.25/11,472.64
  6. Step 6: Final answer
    x = 8,885.43

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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.