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Finding the Fourth Proportional to 6,894, 10,339.92 and 5,731.50

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Solution

The fourth proportional to 6,894, 10,339.92 and 5,731.50 is: 8,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894 : 10,339.92 = 5,731.50 : x
  2. Step 2: Convert to fraction form
    6,894/10,339.92 = 5,731.50/x
  3. Step 3: Cross multiply
    6,894x = 10,339.92 × 5,731.50
  4. Step 4: Simplify right side
    6,894x = 59,263,251.48
  5. Step 5: Solve for x
    x = 59,263,251.48/6,894
  6. Step 6: Final answer
    x = 8,596.35

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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.