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Finding the Fourth Proportional to 6,546.59, 9,816.17 and 4,469.11

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Solution

The fourth proportional to 6,546.59, 9,816.17 and 4,469.11 is: 6,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.59 : 9,816.17 = 4,469.11 : x
  2. Step 2: Convert to fraction form
    6,546.59/9,816.17 = 4,469.11/x
  3. Step 3: Cross multiply
    6,546.59x = 9,816.17 × 4,469.11
  4. Step 4: Simplify right side
    6,546.59x = 43,869,576.98
  5. Step 5: Solve for x
    x = 43,869,576.98/6,546.59
  6. Step 6: Final answer
    x = 6,701.13

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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.