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Finding the Fourth Proportional to 6,472.86, 8,932.87 and 3,641.12

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Solution

The fourth proportional to 6,472.86, 8,932.87 and 3,641.12 is: 5,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.86 : 8,932.87 = 3,641.12 : x
  2. Step 2: Convert to fraction form
    6,472.86/8,932.87 = 3,641.12/x
  3. Step 3: Cross multiply
    6,472.86x = 8,932.87 × 3,641.12
  4. Step 4: Simplify right side
    6,472.86x = 32,525,633.41
  5. Step 5: Solve for x
    x = 32,525,633.41/6,472.86
  6. Step 6: Final answer
    x = 5,024.93

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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.