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Finding the Fourth Proportional to 15,102, 22,648.68 and 6,338.88

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Solution

The fourth proportional to 15,102, 22,648.68 and 6,338.88 is: 9,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102 : 22,648.68 = 6,338.88 : x
  2. Step 2: Convert to fraction form
    15,102/22,648.68 = 6,338.88/x
  3. Step 3: Cross multiply
    15,102x = 22,648.68 × 6,338.88
  4. Step 4: Simplify right side
    15,102x = 143,567,264.68
  5. Step 5: Solve for x
    x = 143,567,264.68/15,102
  6. Step 6: Final answer
    x = 9,506.51

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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.