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Finding the Fourth Proportional to 10,591.14, 15,883.67 and 4,266

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Solution

The fourth proportional to 10,591.14, 15,883.67 and 4,266 is: 6,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.14 : 15,883.67 = 4,266 : x
  2. Step 2: Convert to fraction form
    10,591.14/15,883.67 = 4,266/x
  3. Step 3: Cross multiply
    10,591.14x = 15,883.67 × 4,266
  4. Step 4: Simplify right side
    10,591.14x = 67,759,714.89
  5. Step 5: Solve for x
    x = 67,759,714.89/10,591.14
  6. Step 6: Final answer
    x = 6,397.77

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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.