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Finding the Fourth Proportional to 11,648.48, 17,470.96 and 4,252

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Solution

The fourth proportional to 11,648.48, 17,470.96 and 4,252 is: 6,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.48 : 17,470.96 = 4,252 : x
  2. Step 2: Convert to fraction form
    11,648.48/17,470.96 = 4,252/x
  3. Step 3: Cross multiply
    11,648.48x = 17,470.96 × 4,252
  4. Step 4: Simplify right side
    11,648.48x = 74,286,521.92
  5. Step 5: Solve for x
    x = 74,286,521.92/11,648.48
  6. Step 6: Final answer
    x = 6,377.36

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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.