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Finding the Fourth Proportional to 9,374.92, 14,073.24 and 5,482.12

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Solution

The fourth proportional to 9,374.92, 14,073.24 and 5,482.12 is: 8,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.92 : 14,073.24 = 5,482.12 : x
  2. Step 2: Convert to fraction form
    9,374.92/14,073.24 = 5,482.12/x
  3. Step 3: Cross multiply
    9,374.92x = 14,073.24 × 5,482.12
  4. Step 4: Simplify right side
    9,374.92x = 77,151,190.47
  5. Step 5: Solve for x
    x = 77,151,190.47/9,374.92
  6. Step 6: Final answer
    x = 8,229.53

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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.