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Finding the Fourth Proportional to 22,107.08, 33,159.54 and 8,255

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Solution

The fourth proportional to 22,107.08, 33,159.54 and 8,255 is: 12,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.08 : 33,159.54 = 8,255 : x
  2. Step 2: Convert to fraction form
    22,107.08/33,159.54 = 8,255/x
  3. Step 3: Cross multiply
    22,107.08x = 33,159.54 × 8,255
  4. Step 4: Simplify right side
    22,107.08x = 273,732,002.70
  5. Step 5: Solve for x
    x = 273,732,002.70/22,107.08
  6. Step 6: Final answer
    x = 12,382.10

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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.