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Finding the Fourth Proportional to 7,474.97, 10,240.76 and 7,194.71

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Solution

The fourth proportional to 7,474.97, 10,240.76 and 7,194.71 is: 9,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.97 : 10,240.76 = 7,194.71 : x
  2. Step 2: Convert to fraction form
    7,474.97/10,240.76 = 7,194.71/x
  3. Step 3: Cross multiply
    7,474.97x = 10,240.76 × 7,194.71
  4. Step 4: Simplify right side
    7,474.97x = 73,679,341.97
  5. Step 5: Solve for x
    x = 73,679,341.97/7,474.97
  6. Step 6: Final answer
    x = 9,856.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.