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Finding the Fourth Proportional to 15,314.75, 22,980.90 and 8,294.75

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Solution

The fourth proportional to 15,314.75, 22,980.90 and 8,294.75 is: 12,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.75 : 22,980.90 = 8,294.75 : x
  2. Step 2: Convert to fraction form
    15,314.75/22,980.90 = 8,294.75/x
  3. Step 3: Cross multiply
    15,314.75x = 22,980.90 × 8,294.75
  4. Step 4: Simplify right side
    15,314.75x = 190,620,820.28
  5. Step 5: Solve for x
    x = 190,620,820.28/15,314.75
  6. Step 6: Final answer
    x = 12,446.88

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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.