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Finding the Fourth Proportional to 6,655.50, 9,989.86 and 3,535.53

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Solution

The fourth proportional to 6,655.50, 9,989.86 and 3,535.53 is: 5,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.50 : 9,989.86 = 3,535.53 : x
  2. Step 2: Convert to fraction form
    6,655.50/9,989.86 = 3,535.53/x
  3. Step 3: Cross multiply
    6,655.50x = 9,989.86 × 3,535.53
  4. Step 4: Simplify right side
    6,655.50x = 35,319,449.73
  5. Step 5: Solve for x
    x = 35,319,449.73/6,655.50
  6. Step 6: Final answer
    x = 5,306.81

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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.