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Finding the Fourth Proportional to 8,149.71, 12,216.75 and 2,600.00

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Solution

The fourth proportional to 8,149.71, 12,216.75 and 2,600.00 is: 3,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.71 : 12,216.75 = 2,600.00 : x
  2. Step 2: Convert to fraction form
    8,149.71/12,216.75 = 2,600.00/x
  3. Step 3: Cross multiply
    8,149.71x = 12,216.75 × 2,600.00
  4. Step 4: Simplify right side
    8,149.71x = 31,763,488.92
  5. Step 5: Solve for x
    x = 31,763,488.92/8,149.71
  6. Step 6: Final answer
    x = 3,897.50

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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.