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Finding the Fourth Proportional to 22,918, 34,382.76 and 6,502

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Solution

The fourth proportional to 22,918, 34,382.76 and 6,502 is: 9,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,918 : 34,382.76 = 6,502 : x
  2. Step 2: Convert to fraction form
    22,918/34,382.76 = 6,502/x
  3. Step 3: Cross multiply
    22,918x = 34,382.76 × 6,502
  4. Step 4: Simplify right side
    22,918x = 223,556,705.52
  5. Step 5: Solve for x
    x = 223,556,705.52/22,918
  6. Step 6: Final answer
    x = 9,754.63

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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.