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Finding the Fourth Proportional to 8,469.75, 12,703.60 and 2,230.25

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Solution

The fourth proportional to 8,469.75, 12,703.60 and 2,230.25 is: 3,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.75 : 12,703.60 = 2,230.25 : x
  2. Step 2: Convert to fraction form
    8,469.75/12,703.60 = 2,230.25/x
  3. Step 3: Cross multiply
    8,469.75x = 12,703.60 × 2,230.25
  4. Step 4: Simplify right side
    8,469.75x = 28,332,143.17
  5. Step 5: Solve for x
    x = 28,332,143.17/8,469.75
  6. Step 6: Final answer
    x = 3,345.10

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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.