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Finding the Fourth Proportional to 15,140.80, 22,695.60 and 6,824.80

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Solution

The fourth proportional to 15,140.80, 22,695.60 and 6,824.80 is: 10,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.80 : 22,695.60 = 6,824.80 : x
  2. Step 2: Convert to fraction form
    15,140.80/22,695.60 = 6,824.80/x
  3. Step 3: Cross multiply
    15,140.80x = 22,695.60 × 6,824.80
  4. Step 4: Simplify right side
    15,140.80x = 154,892,930.88
  5. Step 5: Solve for x
    x = 154,892,930.88/15,140.80
  6. Step 6: Final answer
    x = 10,230.17

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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.