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Finding the Fourth Proportional to 6,694, 10,042.08 and 2,078.08

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Solution

The fourth proportional to 6,694, 10,042.08 and 2,078.08 is: 3,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694 : 10,042.08 = 2,078.08 : x
  2. Step 2: Convert to fraction form
    6,694/10,042.08 = 2,078.08/x
  3. Step 3: Cross multiply
    6,694x = 10,042.08 × 2,078.08
  4. Step 4: Simplify right side
    6,694x = 20,868,245.61
  5. Step 5: Solve for x
    x = 20,868,245.61/6,694
  6. Step 6: Final answer
    x = 3,117.46

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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.