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Finding the Fourth Proportional to 9,612.74, 14,398.84 and 6,100.90

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Solution

The fourth proportional to 9,612.74, 14,398.84 and 6,100.90 is: 9,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.74 : 14,398.84 = 6,100.90 : x
  2. Step 2: Convert to fraction form
    9,612.74/14,398.84 = 6,100.90/x
  3. Step 3: Cross multiply
    9,612.74x = 14,398.84 × 6,100.90
  4. Step 4: Simplify right side
    9,612.74x = 87,845,882.96
  5. Step 5: Solve for x
    x = 87,845,882.96/9,612.74
  6. Step 6: Final answer
    x = 9,138.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.