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Finding the Fourth Proportional to 15,972.60, 23,958.90 and 8,196.60

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Solution

The fourth proportional to 15,972.60, 23,958.90 and 8,196.60 is: 12,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.60 : 23,958.90 = 8,196.60 : x
  2. Step 2: Convert to fraction form
    15,972.60/23,958.90 = 8,196.60/x
  3. Step 3: Cross multiply
    15,972.60x = 23,958.90 × 8,196.60
  4. Step 4: Simplify right side
    15,972.60x = 196,381,519.74
  5. Step 5: Solve for x
    x = 196,381,519.74/15,972.60
  6. Step 6: Final answer
    x = 12,294.90

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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.