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Finding the Fourth Proportional to 6,652.28, 9,965.12 and 5,764.57

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Solution

The fourth proportional to 6,652.28, 9,965.12 and 5,764.57 is: 8,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.28 : 9,965.12 = 5,764.57 : x
  2. Step 2: Convert to fraction form
    6,652.28/9,965.12 = 5,764.57/x
  3. Step 3: Cross multiply
    6,652.28x = 9,965.12 × 5,764.57
  4. Step 4: Simplify right side
    6,652.28x = 57,444,581.97
  5. Step 5: Solve for x
    x = 57,444,581.97/6,652.28
  6. Step 6: Final answer
    x = 8,635.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.