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Finding the Fourth Proportional to 9,162.65, 13,737.72 and 4,229.54

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Solution

The fourth proportional to 9,162.65, 13,737.72 and 4,229.54 is: 6,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.65 : 13,737.72 = 4,229.54 : x
  2. Step 2: Convert to fraction form
    9,162.65/13,737.72 = 4,229.54/x
  3. Step 3: Cross multiply
    9,162.65x = 13,737.72 × 4,229.54
  4. Step 4: Simplify right side
    9,162.65x = 58,104,236.25
  5. Step 5: Solve for x
    x = 58,104,236.25/9,162.65
  6. Step 6: Final answer
    x = 6,341.42

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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.