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Finding the Fourth Proportional to 6,281.92, 9,380.42 and 5,462.08

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Solution

The fourth proportional to 6,281.92, 9,380.42 and 5,462.08 is: 8,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.92 : 9,380.42 = 5,462.08 : x
  2. Step 2: Convert to fraction form
    6,281.92/9,380.42 = 5,462.08/x
  3. Step 3: Cross multiply
    6,281.92x = 9,380.42 × 5,462.08
  4. Step 4: Simplify right side
    6,281.92x = 51,236,604.47
  5. Step 5: Solve for x
    x = 51,236,604.47/6,281.92
  6. Step 6: Final answer
    x = 8,156.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.