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Finding the Fourth Proportional to 6,283.68, 9,467.44 and 5,691.44

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Solution

The fourth proportional to 6,283.68, 9,467.44 and 5,691.44 is: 8,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.68 : 9,467.44 = 5,691.44 : x
  2. Step 2: Convert to fraction form
    6,283.68/9,467.44 = 5,691.44/x
  3. Step 3: Cross multiply
    6,283.68x = 9,467.44 × 5,691.44
  4. Step 4: Simplify right side
    6,283.68x = 53,883,366.71
  5. Step 5: Solve for x
    x = 53,883,366.71/6,283.68
  6. Step 6: Final answer
    x = 8,575.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.