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Finding the Fourth Proportional to 5,913.34, 8,101.24 and 5,691.76

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Solution

The fourth proportional to 5,913.34, 8,101.24 and 5,691.76 is: 7,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.34 : 8,101.24 = 5,691.76 : x
  2. Step 2: Convert to fraction form
    5,913.34/8,101.24 = 5,691.76/x
  3. Step 3: Cross multiply
    5,913.34x = 8,101.24 × 5,691.76
  4. Step 4: Simplify right side
    5,913.34x = 46,110,313.78
  5. Step 5: Solve for x
    x = 46,110,313.78/5,913.34
  6. Step 6: Final answer
    x = 7,797.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.