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Finding the Fourth Proportional to 6,587.67, 9,880.77 and 1,657.31

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Solution

The fourth proportional to 6,587.67, 9,880.77 and 1,657.31 is: 2,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.67 : 9,880.77 = 1,657.31 : x
  2. Step 2: Convert to fraction form
    6,587.67/9,880.77 = 1,657.31/x
  3. Step 3: Cross multiply
    6,587.67x = 9,880.77 × 1,657.31
  4. Step 4: Simplify right side
    6,587.67x = 16,375,445.38
  5. Step 5: Solve for x
    x = 16,375,445.38/6,587.67
  6. Step 6: Final answer
    x = 2,485.77

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