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Finding the Fourth Proportional to 6,546.80, 9,809.40 and 5,445.20

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Solution

The fourth proportional to 6,546.80, 9,809.40 and 5,445.20 is: 8,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.80 : 9,809.40 = 5,445.20 : x
  2. Step 2: Convert to fraction form
    6,546.80/9,809.40 = 5,445.20/x
  3. Step 3: Cross multiply
    6,546.80x = 9,809.40 × 5,445.20
  4. Step 4: Simplify right side
    6,546.80x = 53,414,144.88
  5. Step 5: Solve for x
    x = 53,414,144.88/6,546.80
  6. Step 6: Final answer
    x = 8,158.82

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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.