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Finding the Fourth Proportional to 15,112.64, 20,855.17 and 8,398.15

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Solution

The fourth proportional to 15,112.64, 20,855.17 and 8,398.15 is: 11,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112.64 : 20,855.17 = 8,398.15 : x
  2. Step 2: Convert to fraction form
    15,112.64/20,855.17 = 8,398.15/x
  3. Step 3: Cross multiply
    15,112.64x = 20,855.17 × 8,398.15
  4. Step 4: Simplify right side
    15,112.64x = 175,144,804.30
  5. Step 5: Solve for x
    x = 175,144,804.30/15,112.64
  6. Step 6: Final answer
    x = 11,589.29

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1.5x scale

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.