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Finding the Fourth Proportional to 6,437.57, 9,663.18 and 5,701.95

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Solution

The fourth proportional to 6,437.57, 9,663.18 and 5,701.95 is: 8,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.57 : 9,663.18 = 5,701.95 : x
  2. Step 2: Convert to fraction form
    6,437.57/9,663.18 = 5,701.95/x
  3. Step 3: Cross multiply
    6,437.57x = 9,663.18 × 5,701.95
  4. Step 4: Simplify right side
    6,437.57x = 55,098,969.20
  5. Step 5: Solve for x
    x = 55,098,969.20/6,437.57
  6. Step 6: Final answer
    x = 8,558.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.