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Finding the Fourth Proportional to 7,785.73, 10,744.02 and 4,248.87

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Solution

The fourth proportional to 7,785.73, 10,744.02 and 4,248.87 is: 5,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.73 : 10,744.02 = 4,248.87 : x
  2. Step 2: Convert to fraction form
    7,785.73/10,744.02 = 4,248.87/x
  3. Step 3: Cross multiply
    7,785.73x = 10,744.02 × 4,248.87
  4. Step 4: Simplify right side
    7,785.73x = 45,649,944.26
  5. Step 5: Solve for x
    x = 45,649,944.26/7,785.73
  6. Step 6: Final answer
    x = 5,863.28

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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.