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Finding the Fourth Proportional to 10,874.36, 15,001.80 and 6,685.04

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Solution

The fourth proportional to 10,874.36, 15,001.80 and 6,685.04 is: 9,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.36 : 15,001.80 = 6,685.04 : x
  2. Step 2: Convert to fraction form
    10,874.36/15,001.80 = 6,685.04/x
  3. Step 3: Cross multiply
    10,874.36x = 15,001.80 × 6,685.04
  4. Step 4: Simplify right side
    10,874.36x = 100,287,633.07
  5. Step 5: Solve for x
    x = 100,287,633.07/10,874.36
  6. Step 6: Final answer
    x = 9,222.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.