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Finding the Fourth Proportional to 6,098.82, 9,148.56 and 1,939.16

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Solution

The fourth proportional to 6,098.82, 9,148.56 and 1,939.16 is: 2,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.82 : 9,148.56 = 1,939.16 : x
  2. Step 2: Convert to fraction form
    6,098.82/9,148.56 = 1,939.16/x
  3. Step 3: Cross multiply
    6,098.82x = 9,148.56 × 1,939.16
  4. Step 4: Simplify right side
    6,098.82x = 17,740,521.61
  5. Step 5: Solve for x
    x = 17,740,521.61/6,098.82
  6. Step 6: Final answer
    x = 2,908.84

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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.