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Finding the Fourth Proportional to 9,874.46, 13,626.78 and 5,398.26

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Solution

The fourth proportional to 9,874.46, 13,626.78 and 5,398.26 is: 7,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.46 : 13,626.78 = 5,398.26 : x
  2. Step 2: Convert to fraction form
    9,874.46/13,626.78 = 5,398.26/x
  3. Step 3: Cross multiply
    9,874.46x = 13,626.78 × 5,398.26
  4. Step 4: Simplify right side
    9,874.46x = 73,560,901.40
  5. Step 5: Solve for x
    x = 73,560,901.40/9,874.46
  6. Step 6: Final answer
    x = 7,449.61

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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.