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Finding the Fourth Proportional to 6,505.80, 9,714.14 and 5,631

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Solution

The fourth proportional to 6,505.80, 9,714.14 and 5,631 is: 8,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.80 : 9,714.14 = 5,631 : x
  2. Step 2: Convert to fraction form
    6,505.80/9,714.14 = 5,631/x
  3. Step 3: Cross multiply
    6,505.80x = 9,714.14 × 5,631
  4. Step 4: Simplify right side
    6,505.80x = 54,700,294.19
  5. Step 5: Solve for x
    x = 54,700,294.19/6,505.80
  6. Step 6: Final answer
    x = 8,407.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.