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Finding the Fourth Proportional to 5,222.77, 7,834.17 and 1,327.17

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Solution

The fourth proportional to 5,222.77, 7,834.17 and 1,327.17 is: 1,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.77 : 7,834.17 = 1,327.17 : x
  2. Step 2: Convert to fraction form
    5,222.77/7,834.17 = 1,327.17/x
  3. Step 3: Cross multiply
    5,222.77x = 7,834.17 × 1,327.17
  4. Step 4: Simplify right side
    5,222.77x = 10,397,275.40
  5. Step 5: Solve for x
    x = 10,397,275.40/5,222.77
  6. Step 6: Final answer
    x = 1,990.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.