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Finding the Fourth Proportional to 10,874.14, 15,006.05 and 6,398.18

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Solution

The fourth proportional to 10,874.14, 15,006.05 and 6,398.18 is: 8,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.14 : 15,006.05 = 6,398.18 : x
  2. Step 2: Convert to fraction form
    10,874.14/15,006.05 = 6,398.18/x
  3. Step 3: Cross multiply
    10,874.14x = 15,006.05 × 6,398.18
  4. Step 4: Simplify right side
    10,874.14x = 96,011,408.99
  5. Step 5: Solve for x
    x = 96,011,408.99/10,874.14
  6. Step 6: Final answer
    x = 8,829.33

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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.