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Finding the Fourth Proportional to 7,251.12, 9,931.57 and 6,825.57

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Solution

The fourth proportional to 7,251.12, 9,931.57 and 6,825.57 is: 9,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.12 : 9,931.57 = 6,825.57 : x
  2. Step 2: Convert to fraction form
    7,251.12/9,931.57 = 6,825.57/x
  3. Step 3: Cross multiply
    7,251.12x = 9,931.57 × 6,825.57
  4. Step 4: Simplify right side
    7,251.12x = 67,788,626.24
  5. Step 5: Solve for x
    x = 67,788,626.24/7,251.12
  6. Step 6: Final answer
    x = 9,348.71

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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.