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Finding the Fourth Proportional to 10,037.76, 13,854.05 and 5,791.56

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Solution

The fourth proportional to 10,037.76, 13,854.05 and 5,791.56 is: 7,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.76 : 13,854.05 = 5,791.56 : x
  2. Step 2: Convert to fraction form
    10,037.76/13,854.05 = 5,791.56/x
  3. Step 3: Cross multiply
    10,037.76x = 13,854.05 × 5,791.56
  4. Step 4: Simplify right side
    10,037.76x = 80,236,561.82
  5. Step 5: Solve for x
    x = 80,236,561.82/10,037.76
  6. Step 6: Final answer
    x = 7,993.47

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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.