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Finding the Fourth Proportional to 6,475.60, 8,947.56 and 5,309.20

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Solution

The fourth proportional to 6,475.60, 8,947.56 and 5,309.20 is: 7,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.60 : 8,947.56 = 5,309.20 : x
  2. Step 2: Convert to fraction form
    6,475.60/8,947.56 = 5,309.20/x
  3. Step 3: Cross multiply
    6,475.60x = 8,947.56 × 5,309.20
  4. Step 4: Simplify right side
    6,475.60x = 47,504,385.55
  5. Step 5: Solve for x
    x = 47,504,385.55/6,475.60
  6. Step 6: Final answer
    x = 7,335.90

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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.