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Finding the Fourth Proportional to 5,947.32, 8,211.97 and 4,773.63

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Solution

The fourth proportional to 5,947.32, 8,211.97 and 4,773.63 is: 6,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.32 : 8,211.97 = 4,773.63 : x
  2. Step 2: Convert to fraction form
    5,947.32/8,211.97 = 4,773.63/x
  3. Step 3: Cross multiply
    5,947.32x = 8,211.97 × 4,773.63
  4. Step 4: Simplify right side
    5,947.32x = 39,200,882.48
  5. Step 5: Solve for x
    x = 39,200,882.48/5,947.32
  6. Step 6: Final answer
    x = 6,591.35

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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.