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Finding the Fourth Proportional to 6,062.08, 9,092 and 1,678.96

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Solution

The fourth proportional to 6,062.08, 9,092 and 1,678.96 is: 2,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.08 : 9,092 = 1,678.96 : x
  2. Step 2: Convert to fraction form
    6,062.08/9,092 = 1,678.96/x
  3. Step 3: Cross multiply
    6,062.08x = 9,092 × 1,678.96
  4. Step 4: Simplify right side
    6,062.08x = 15,265,104.32
  5. Step 5: Solve for x
    x = 15,265,104.32/6,062.08
  6. Step 6: Final answer
    x = 2,518.13

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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.