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Finding the Fourth Proportional to 4,691.76, 7,037.16 and 1,228.56

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Solution

The fourth proportional to 4,691.76, 7,037.16 and 1,228.56 is: 1,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.76 : 7,037.16 = 1,228.56 : x
  2. Step 2: Convert to fraction form
    4,691.76/7,037.16 = 1,228.56/x
  3. Step 3: Cross multiply
    4,691.76x = 7,037.16 × 1,228.56
  4. Step 4: Simplify right side
    4,691.76x = 8,645,573.29
  5. Step 5: Solve for x
    x = 8,645,573.29/4,691.76
  6. Step 6: Final answer
    x = 1,842.71

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1.5x scale

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.