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Finding the Fourth Proportional to 6,909.62, 10,364.91 and 2,292.50

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Solution

The fourth proportional to 6,909.62, 10,364.91 and 2,292.50 is: 3,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.62 : 10,364.91 = 2,292.50 : x
  2. Step 2: Convert to fraction form
    6,909.62/10,364.91 = 2,292.50/x
  3. Step 3: Cross multiply
    6,909.62x = 10,364.91 × 2,292.50
  4. Step 4: Simplify right side
    6,909.62x = 23,761,556.18
  5. Step 5: Solve for x
    x = 23,761,556.18/6,909.62
  6. Step 6: Final answer
    x = 3,438.91

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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.