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Finding the Fourth Proportional to 6,282.26, 9,411.07 and 3,644.22

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Solution

The fourth proportional to 6,282.26, 9,411.07 and 3,644.22 is: 5,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.26 : 9,411.07 = 3,644.22 : x
  2. Step 2: Convert to fraction form
    6,282.26/9,411.07 = 3,644.22/x
  3. Step 3: Cross multiply
    6,282.26x = 9,411.07 × 3,644.22
  4. Step 4: Simplify right side
    6,282.26x = 34,296,042.53
  5. Step 5: Solve for x
    x = 34,296,042.53/6,282.26
  6. Step 6: Final answer
    x = 5,459.19

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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.