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Finding the Fourth Proportional to 7,648.38, 11,472.42 and 2,101.70

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Solution

The fourth proportional to 7,648.38, 11,472.42 and 2,101.70 is: 3,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.38 : 11,472.42 = 2,101.70 : x
  2. Step 2: Convert to fraction form
    7,648.38/11,472.42 = 2,101.70/x
  3. Step 3: Cross multiply
    7,648.38x = 11,472.42 × 2,101.70
  4. Step 4: Simplify right side
    7,648.38x = 24,111,527.75
  5. Step 5: Solve for x
    x = 24,111,527.75/7,648.38
  6. Step 6: Final answer
    x = 3,152.50

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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.