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Finding the Fourth Proportional to 5,882.55, 8,114.86 and 4,764.75

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Solution

The fourth proportional to 5,882.55, 8,114.86 and 4,764.75 is: 6,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.55 : 8,114.86 = 4,764.75 : x
  2. Step 2: Convert to fraction form
    5,882.55/8,114.86 = 4,764.75/x
  3. Step 3: Cross multiply
    5,882.55x = 8,114.86 × 4,764.75
  4. Step 4: Simplify right side
    5,882.55x = 38,665,255.36
  5. Step 5: Solve for x
    x = 38,665,255.36/5,882.55
  6. Step 6: Final answer
    x = 6,572.87

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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.