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Finding the Fourth Proportional to 12,471.52, 17,206.68 and 8,280.60

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Solution

The fourth proportional to 12,471.52, 17,206.68 and 8,280.60 is: 11,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.52 : 17,206.68 = 8,280.60 : x
  2. Step 2: Convert to fraction form
    12,471.52/17,206.68 = 8,280.60/x
  3. Step 3: Cross multiply
    12,471.52x = 17,206.68 × 8,280.60
  4. Step 4: Simplify right side
    12,471.52x = 142,481,634.41
  5. Step 5: Solve for x
    x = 142,481,634.41/12,471.52
  6. Step 6: Final answer
    x = 11,424.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.