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Finding the Fourth Proportional to 7,765.80, 10,717.05 and 4,229.13

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Solution

The fourth proportional to 7,765.80, 10,717.05 and 4,229.13 is: 5,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.80 : 10,717.05 = 4,229.13 : x
  2. Step 2: Convert to fraction form
    7,765.80/10,717.05 = 4,229.13/x
  3. Step 3: Cross multiply
    7,765.80x = 10,717.05 × 4,229.13
  4. Step 4: Simplify right side
    7,765.80x = 45,323,797.67
  5. Step 5: Solve for x
    x = 45,323,797.67/7,765.80
  6. Step 6: Final answer
    x = 5,836.33

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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.