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Finding the Fourth Proportional to 8,313.92, 12,463.20 and 3,116.48

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Solution

The fourth proportional to 8,313.92, 12,463.20 and 3,116.48 is: 4,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.92 : 12,463.20 = 3,116.48 : x
  2. Step 2: Convert to fraction form
    8,313.92/12,463.20 = 3,116.48/x
  3. Step 3: Cross multiply
    8,313.92x = 12,463.20 × 3,116.48
  4. Step 4: Simplify right side
    8,313.92x = 38,841,313.54
  5. Step 5: Solve for x
    x = 38,841,313.54/8,313.92
  6. Step 6: Final answer
    x = 4,671.84

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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.