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Finding the Fourth Proportional to 7,601.38, 10,489.16 and 5,213.39

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Solution

The fourth proportional to 7,601.38, 10,489.16 and 5,213.39 is: 7,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.38 : 10,489.16 = 5,213.39 : x
  2. Step 2: Convert to fraction form
    7,601.38/10,489.16 = 5,213.39/x
  3. Step 3: Cross multiply
    7,601.38x = 10,489.16 × 5,213.39
  4. Step 4: Simplify right side
    7,601.38x = 54,684,116.32
  5. Step 5: Solve for x
    x = 54,684,116.32/7,601.38
  6. Step 6: Final answer
    x = 7,193.98

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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.