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Finding the Fourth Proportional to 6,407.52, 8,841.96 and 3,613.20

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Solution

The fourth proportional to 6,407.52, 8,841.96 and 3,613.20 is: 4,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.52 : 8,841.96 = 3,613.20 : x
  2. Step 2: Convert to fraction form
    6,407.52/8,841.96 = 3,613.20/x
  3. Step 3: Cross multiply
    6,407.52x = 8,841.96 × 3,613.20
  4. Step 4: Simplify right side
    6,407.52x = 31,947,769.87
  5. Step 5: Solve for x
    x = 31,947,769.87/6,407.52
  6. Step 6: Final answer
    x = 4,985.98

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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.