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Finding the Fourth Proportional to 10,101.84, 13,944.84 and 6,791.76

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Solution

The fourth proportional to 10,101.84, 13,944.84 and 6,791.76 is: 9,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.84 : 13,944.84 = 6,791.76 : x
  2. Step 2: Convert to fraction form
    10,101.84/13,944.84 = 6,791.76/x
  3. Step 3: Cross multiply
    10,101.84x = 13,944.84 × 6,791.76
  4. Step 4: Simplify right side
    10,101.84x = 94,710,006.52
  5. Step 5: Solve for x
    x = 94,710,006.52/10,101.84
  6. Step 6: Final answer
    x = 9,375.52

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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.