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Finding the Fourth Proportional to 12,287.70, 18,427.95 and 5,712.30

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Solution

The fourth proportional to 12,287.70, 18,427.95 and 5,712.30 is: 8,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.70 : 18,427.95 = 5,712.30 : x
  2. Step 2: Convert to fraction form
    12,287.70/18,427.95 = 5,712.30/x
  3. Step 3: Cross multiply
    12,287.70x = 18,427.95 × 5,712.30
  4. Step 4: Simplify right side
    12,287.70x = 105,265,978.79
  5. Step 5: Solve for x
    x = 105,265,978.79/12,287.70
  6. Step 6: Final answer
    x = 8,566.78

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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.