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Finding the Fourth Proportional to 15,331.63, 22,984.49 and 5,978.18

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Solution

The fourth proportional to 15,331.63, 22,984.49 and 5,978.18 is: 8,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331.63 : 22,984.49 = 5,978.18 : x
  2. Step 2: Convert to fraction form
    15,331.63/22,984.49 = 5,978.18/x
  3. Step 3: Cross multiply
    15,331.63x = 22,984.49 × 5,978.18
  4. Step 4: Simplify right side
    15,331.63x = 137,405,375.91
  5. Step 5: Solve for x
    x = 137,405,375.91/15,331.63
  6. Step 6: Final answer
    x = 8,962.22

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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.