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Finding the Fourth Proportional to 9,294.92, 13,924.21 and 6,165.62

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Solution

The fourth proportional to 9,294.92, 13,924.21 and 6,165.62 is: 9,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.92 : 13,924.21 = 6,165.62 : x
  2. Step 2: Convert to fraction form
    9,294.92/13,924.21 = 6,165.62/x
  3. Step 3: Cross multiply
    9,294.92x = 13,924.21 × 6,165.62
  4. Step 4: Simplify right side
    9,294.92x = 85,851,387.66
  5. Step 5: Solve for x
    x = 85,851,387.66/9,294.92
  6. Step 6: Final answer
    x = 9,236.38

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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.