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Finding the Fourth Proportional to 7,074.27, 9,766.17 and 4,557.87

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Solution

The fourth proportional to 7,074.27, 9,766.17 and 4,557.87 is: 6,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.27 : 9,766.17 = 4,557.87 : x
  2. Step 2: Convert to fraction form
    7,074.27/9,766.17 = 4,557.87/x
  3. Step 3: Cross multiply
    7,074.27x = 9,766.17 × 4,557.87
  4. Step 4: Simplify right side
    7,074.27x = 44,512,933.26
  5. Step 5: Solve for x
    x = 44,512,933.26/7,074.27
  6. Step 6: Final answer
    x = 6,292.23

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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.