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Finding the Fourth Proportional to 22,919, 34,384.26 and 6,503

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Solution

The fourth proportional to 22,919, 34,384.26 and 6,503 is: 9,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,919 : 34,384.26 = 6,503 : x
  2. Step 2: Convert to fraction form
    22,919/34,384.26 = 6,503/x
  3. Step 3: Cross multiply
    22,919x = 34,384.26 × 6,503
  4. Step 4: Simplify right side
    22,919x = 223,600,842.78
  5. Step 5: Solve for x
    x = 223,600,842.78/22,919
  6. Step 6: Final answer
    x = 9,756.13

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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.