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Finding the Fourth Proportional to 6,546.60, 9,809.10 and 5,617.80

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Solution

The fourth proportional to 6,546.60, 9,809.10 and 5,617.80 is: 8,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.60 : 9,809.10 = 5,617.80 : x
  2. Step 2: Convert to fraction form
    6,546.60/9,809.10 = 5,617.80/x
  3. Step 3: Cross multiply
    6,546.60x = 9,809.10 × 5,617.80
  4. Step 4: Simplify right side
    6,546.60x = 55,105,561.98
  5. Step 5: Solve for x
    x = 55,105,561.98/6,546.60
  6. Step 6: Final answer
    x = 8,417.43

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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.