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Finding the Fourth Proportional to 6,658.74, 9,985.32 and 2,276.55

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Solution

The fourth proportional to 6,658.74, 9,985.32 and 2,276.55 is: 3,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.74 : 9,985.32 = 2,276.55 : x
  2. Step 2: Convert to fraction form
    6,658.74/9,985.32 = 2,276.55/x
  3. Step 3: Cross multiply
    6,658.74x = 9,985.32 × 2,276.55
  4. Step 4: Simplify right side
    6,658.74x = 22,732,080.25
  5. Step 5: Solve for x
    x = 22,732,080.25/6,658.74
  6. Step 6: Final answer
    x = 3,413.87

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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.