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Finding the Fourth Proportional to 14,251.76, 19,667.05 and 7,791.15

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Solution

The fourth proportional to 14,251.76, 19,667.05 and 7,791.15 is: 10,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.76 : 19,667.05 = 7,791.15 : x
  2. Step 2: Convert to fraction form
    14,251.76/19,667.05 = 7,791.15/x
  3. Step 3: Cross multiply
    14,251.76x = 19,667.05 × 7,791.15
  4. Step 4: Simplify right side
    14,251.76x = 153,228,936.61
  5. Step 5: Solve for x
    x = 153,228,936.61/14,251.76
  6. Step 6: Final answer
    x = 10,751.58

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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.