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Finding the Fourth Proportional to 14,240.40, 19,648.92 and 7,951.92

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Solution

The fourth proportional to 14,240.40, 19,648.92 and 7,951.92 is: 10,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.40 : 19,648.92 = 7,951.92 : x
  2. Step 2: Convert to fraction form
    14,240.40/19,648.92 = 7,951.92/x
  3. Step 3: Cross multiply
    14,240.40x = 19,648.92 × 7,951.92
  4. Step 4: Simplify right side
    14,240.40x = 156,246,639.93
  5. Step 5: Solve for x
    x = 156,246,639.93/14,240.40
  6. Step 6: Final answer
    x = 10,972.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.