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Finding the Fourth Proportional to 22,914, 34,376.76 and 6,498

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Solution

The fourth proportional to 22,914, 34,376.76 and 6,498 is: 9,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914 : 34,376.76 = 6,498 : x
  2. Step 2: Convert to fraction form
    22,914/34,376.76 = 6,498/x
  3. Step 3: Cross multiply
    22,914x = 34,376.76 × 6,498
  4. Step 4: Simplify right side
    22,914x = 223,380,186.48
  5. Step 5: Solve for x
    x = 223,380,186.48/22,914
  6. Step 6: Final answer
    x = 9,748.63

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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.