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Finding the Fourth Proportional to 6,691.62, 10,034.51 and 3,570.93

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Solution

The fourth proportional to 6,691.62, 10,034.51 and 3,570.93 is: 5,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.62 : 10,034.51 = 3,570.93 : x
  2. Step 2: Convert to fraction form
    6,691.62/10,034.51 = 3,570.93/x
  3. Step 3: Cross multiply
    6,691.62x = 10,034.51 × 3,570.93
  4. Step 4: Simplify right side
    6,691.62x = 35,832,482.62
  5. Step 5: Solve for x
    x = 35,832,482.62/6,691.62
  6. Step 6: Final answer
    x = 5,354.83

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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.