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Finding the Fourth Proportional to 6,874, 9,488.58 and 4,079.50

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Solution

The fourth proportional to 6,874, 9,488.58 and 4,079.50 is: 5,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874 : 9,488.58 = 4,079.50 : x
  2. Step 2: Convert to fraction form
    6,874/9,488.58 = 4,079.50/x
  3. Step 3: Cross multiply
    6,874x = 9,488.58 × 4,079.50
  4. Step 4: Simplify right side
    6,874x = 38,708,662.11
  5. Step 5: Solve for x
    x = 38,708,662.11/6,874
  6. Step 6: Final answer
    x = 5,631.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.