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Finding the Fourth Proportional to 15,197.77, 20,972.25 and 8,483.24

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Solution

The fourth proportional to 15,197.77, 20,972.25 and 8,483.24 is: 11,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.77 : 20,972.25 = 8,483.24 : x
  2. Step 2: Convert to fraction form
    15,197.77/20,972.25 = 8,483.24/x
  3. Step 3: Cross multiply
    15,197.77x = 20,972.25 × 8,483.24
  4. Step 4: Simplify right side
    15,197.77x = 177,912,694.12
  5. Step 5: Solve for x
    x = 177,912,694.12/15,197.77
  6. Step 6: Final answer
    x = 11,706.50

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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.