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Finding the Fourth Proportional to 6,098.67, 9,149.31 and 1,881.93

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Solution

The fourth proportional to 6,098.67, 9,149.31 and 1,881.93 is: 2,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.67 : 9,149.31 = 1,881.93 : x
  2. Step 2: Convert to fraction form
    6,098.67/9,149.31 = 1,881.93/x
  3. Step 3: Cross multiply
    6,098.67x = 9,149.31 × 1,881.93
  4. Step 4: Simplify right side
    6,098.67x = 17,218,360.97
  5. Step 5: Solve for x
    x = 17,218,360.97/6,098.67
  6. Step 6: Final answer
    x = 2,823.30

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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.