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Finding the Fourth Proportional to 8,230.50, 12,345.78 and 2,758.50

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Solution

The fourth proportional to 8,230.50, 12,345.78 and 2,758.50 is: 4,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.50 : 12,345.78 = 2,758.50 : x
  2. Step 2: Convert to fraction form
    8,230.50/12,345.78 = 2,758.50/x
  3. Step 3: Cross multiply
    8,230.50x = 12,345.78 × 2,758.50
  4. Step 4: Simplify right side
    8,230.50x = 34,055,834.13
  5. Step 5: Solve for x
    x = 34,055,834.13/8,230.50
  6. Step 6: Final answer
    x = 4,137.76

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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.