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Finding the Fourth Proportional to 6,988.86, 9,644.49 and 3,845.10

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Solution

The fourth proportional to 6,988.86, 9,644.49 and 3,845.10 is: 5,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.86 : 9,644.49 = 3,845.10 : x
  2. Step 2: Convert to fraction form
    6,988.86/9,644.49 = 3,845.10/x
  3. Step 3: Cross multiply
    6,988.86x = 9,644.49 × 3,845.10
  4. Step 4: Simplify right side
    6,988.86x = 37,084,028.50
  5. Step 5: Solve for x
    x = 37,084,028.50/6,988.86
  6. Step 6: Final answer
    x = 5,306.16

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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.