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Finding the Fourth Proportional to 9,400.74, 12,972.48 and 5,150.97

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Solution

The fourth proportional to 9,400.74, 12,972.48 and 5,150.97 is: 7,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.74 : 12,972.48 = 5,150.97 : x
  2. Step 2: Convert to fraction form
    9,400.74/12,972.48 = 5,150.97/x
  3. Step 3: Cross multiply
    9,400.74x = 12,972.48 × 5,150.97
  4. Step 4: Simplify right side
    9,400.74x = 66,820,855.31
  5. Step 5: Solve for x
    x = 66,820,855.31/9,400.74
  6. Step 6: Final answer
    x = 7,108.04

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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.