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Finding the Fourth Proportional to 6,654.50, 9,988.35 and 3,534.53

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Solution

The fourth proportional to 6,654.50, 9,988.35 and 3,534.53 is: 5,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.50 : 9,988.35 = 3,534.53 : x
  2. Step 2: Convert to fraction form
    6,654.50/9,988.35 = 3,534.53/x
  3. Step 3: Cross multiply
    6,654.50x = 9,988.35 × 3,534.53
  4. Step 4: Simplify right side
    6,654.50x = 35,304,159.58
  5. Step 5: Solve for x
    x = 35,304,159.58/6,654.50
  6. Step 6: Final answer
    x = 5,305.31

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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.