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Finding the Fourth Proportional to 6,517.42, 9,776 and 1,587.08

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Solution

The fourth proportional to 6,517.42, 9,776 and 1,587.08 is: 2,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.42 : 9,776 = 1,587.08 : x
  2. Step 2: Convert to fraction form
    6,517.42/9,776 = 1,587.08/x
  3. Step 3: Cross multiply
    6,517.42x = 9,776 × 1,587.08
  4. Step 4: Simplify right side
    6,517.42x = 15,515,294.08
  5. Step 5: Solve for x
    x = 15,515,294.08/6,517.42
  6. Step 6: Final answer
    x = 2,380.59

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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.