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Finding the Fourth Proportional to 7,213.17, 9,948.57 and 4,559.61

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Solution

The fourth proportional to 7,213.17, 9,948.57 and 4,559.61 is: 6,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.17 : 9,948.57 = 4,559.61 : x
  2. Step 2: Convert to fraction form
    7,213.17/9,948.57 = 4,559.61/x
  3. Step 3: Cross multiply
    7,213.17x = 9,948.57 × 4,559.61
  4. Step 4: Simplify right side
    7,213.17x = 45,361,599.26
  5. Step 5: Solve for x
    x = 45,361,599.26/7,213.17
  6. Step 6: Final answer
    x = 6,288.72

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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.