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Finding the Fourth Proportional to 6,929.09, 10,397.95 and 4,013.09

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Solution

The fourth proportional to 6,929.09, 10,397.95 and 4,013.09 is: 6,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.09 : 10,397.95 = 4,013.09 : x
  2. Step 2: Convert to fraction form
    6,929.09/10,397.95 = 4,013.09/x
  3. Step 3: Cross multiply
    6,929.09x = 10,397.95 × 4,013.09
  4. Step 4: Simplify right side
    6,929.09x = 41,727,847.14
  5. Step 5: Solve for x
    x = 41,727,847.14/6,929.09
  6. Step 6: Final answer
    x = 6,022.13

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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.