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Finding the Fourth Proportional to 6,587.66, 9,882.68 and 3,124.88

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Solution

The fourth proportional to 6,587.66, 9,882.68 and 3,124.88 is: 4,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.66 : 9,882.68 = 3,124.88 : x
  2. Step 2: Convert to fraction form
    6,587.66/9,882.68 = 3,124.88/x
  3. Step 3: Cross multiply
    6,587.66x = 9,882.68 × 3,124.88
  4. Step 4: Simplify right side
    6,587.66x = 30,882,147.48
  5. Step 5: Solve for x
    x = 30,882,147.48/6,587.66
  6. Step 6: Final answer
    x = 4,687.88

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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.