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Finding the Fourth Proportional to 5,836.56, 8,046.76 and 4,493.68

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Solution

The fourth proportional to 5,836.56, 8,046.76 and 4,493.68 is: 6,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.56 : 8,046.76 = 4,493.68 : x
  2. Step 2: Convert to fraction form
    5,836.56/8,046.76 = 4,493.68/x
  3. Step 3: Cross multiply
    5,836.56x = 8,046.76 × 4,493.68
  4. Step 4: Simplify right side
    5,836.56x = 36,159,564.48
  5. Step 5: Solve for x
    x = 36,159,564.48/5,836.56
  6. Step 6: Final answer
    x = 6,195.36

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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.