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Finding the Fourth Proportional to 6,590.04, 9,885 and 2,691.70

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Solution

The fourth proportional to 6,590.04, 9,885 and 2,691.70 is: 4,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.04 : 9,885 = 2,691.70 : x
  2. Step 2: Convert to fraction form
    6,590.04/9,885 = 2,691.70/x
  3. Step 3: Cross multiply
    6,590.04x = 9,885 × 2,691.70
  4. Step 4: Simplify right side
    6,590.04x = 26,607,454.50
  5. Step 5: Solve for x
    x = 26,607,454.50/6,590.04
  6. Step 6: Final answer
    x = 4,037.53

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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.