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Finding the Fourth Proportional to 7,642.55, 10,532.44 and 5,961.30

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Solution

The fourth proportional to 7,642.55, 10,532.44 and 5,961.30 is: 8,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.55 : 10,532.44 = 5,961.30 : x
  2. Step 2: Convert to fraction form
    7,642.55/10,532.44 = 5,961.30/x
  3. Step 3: Cross multiply
    7,642.55x = 10,532.44 × 5,961.30
  4. Step 4: Simplify right side
    7,642.55x = 62,787,034.57
  5. Step 5: Solve for x
    x = 62,787,034.57/7,642.55
  6. Step 6: Final answer
    x = 8,215.46

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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.