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Finding the Fourth Proportional to 9,474.10, 13,073.10 and 5,494.66

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Solution

The fourth proportional to 9,474.10, 13,073.10 and 5,494.66 is: 7,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.10 : 13,073.10 = 5,494.66 : x
  2. Step 2: Convert to fraction form
    9,474.10/13,073.10 = 5,494.66/x
  3. Step 3: Cross multiply
    9,474.10x = 13,073.10 × 5,494.66
  4. Step 4: Simplify right side
    9,474.10x = 71,832,239.65
  5. Step 5: Solve for x
    x = 71,832,239.65/9,474.10
  6. Step 6: Final answer
    x = 7,581.96

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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.