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Finding the Fourth Proportional to 8,313.92, 12,468.74 and 2,469.16

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Solution

The fourth proportional to 8,313.92, 12,468.74 and 2,469.16 is: 3,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.92 : 12,468.74 = 2,469.16 : x
  2. Step 2: Convert to fraction form
    8,313.92/12,468.74 = 2,469.16/x
  3. Step 3: Cross multiply
    8,313.92x = 12,468.74 × 2,469.16
  4. Step 4: Simplify right side
    8,313.92x = 30,787,314.06
  5. Step 5: Solve for x
    x = 30,787,314.06/8,313.92
  6. Step 6: Final answer
    x = 3,703.10

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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.