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Finding the Fourth Proportional to 6,098.05, 9,146.12 and 1,937.51

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Solution

The fourth proportional to 6,098.05, 9,146.12 and 1,937.51 is: 2,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.05 : 9,146.12 = 1,937.51 : x
  2. Step 2: Convert to fraction form
    6,098.05/9,146.12 = 1,937.51/x
  3. Step 3: Cross multiply
    6,098.05x = 9,146.12 × 1,937.51
  4. Step 4: Simplify right side
    6,098.05x = 17,720,726.67
  5. Step 5: Solve for x
    x = 17,720,726.67/6,098.05
  6. Step 6: Final answer
    x = 2,905.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.