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Finding the Fourth Proportional to 10,174.74, 15,249.80 and 4,622.48

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Solution

The fourth proportional to 10,174.74, 15,249.80 and 4,622.48 is: 6,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.74 : 15,249.80 = 4,622.48 : x
  2. Step 2: Convert to fraction form
    10,174.74/15,249.80 = 4,622.48/x
  3. Step 3: Cross multiply
    10,174.74x = 15,249.80 × 4,622.48
  4. Step 4: Simplify right side
    10,174.74x = 70,491,895.50
  5. Step 5: Solve for x
    x = 70,491,895.50/10,174.74
  6. Step 6: Final answer
    x = 6,928.13

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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.