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Finding the Fourth Proportional to 10,898.21, 15,039.38 and 6,422.15

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Solution

The fourth proportional to 10,898.21, 15,039.38 and 6,422.15 is: 8,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.21 : 15,039.38 = 6,422.15 : x
  2. Step 2: Convert to fraction form
    10,898.21/15,039.38 = 6,422.15/x
  3. Step 3: Cross multiply
    10,898.21x = 15,039.38 × 6,422.15
  4. Step 4: Simplify right side
    10,898.21x = 96,585,095.13
  5. Step 5: Solve for x
    x = 96,585,095.13/10,898.21
  6. Step 6: Final answer
    x = 8,862.48

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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.