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Finding the Fourth Proportional to 6,929.01, 10,398.65 and 5,084.91

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Solution

The fourth proportional to 6,929.01, 10,398.65 and 5,084.91 is: 7,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.01 : 10,398.65 = 5,084.91 : x
  2. Step 2: Convert to fraction form
    6,929.01/10,398.65 = 5,084.91/x
  3. Step 3: Cross multiply
    6,929.01x = 10,398.65 × 5,084.91
  4. Step 4: Simplify right side
    6,929.01x = 52,876,173.95
  5. Step 5: Solve for x
    x = 52,876,173.95/6,929.01
  6. Step 6: Final answer
    x = 7,631.13

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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.