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Finding the Fourth Proportional to 6,098.55, 9,148.13 and 1,938.88

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Solution

The fourth proportional to 6,098.55, 9,148.13 and 1,938.88 is: 2,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.55 : 9,148.13 = 1,938.88 : x
  2. Step 2: Convert to fraction form
    6,098.55/9,148.13 = 1,938.88/x
  3. Step 3: Cross multiply
    6,098.55x = 9,148.13 × 1,938.88
  4. Step 4: Simplify right side
    6,098.55x = 17,737,126.29
  5. Step 5: Solve for x
    x = 17,737,126.29/6,098.55
  6. Step 6: Final answer
    x = 2,908.42

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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.