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Finding the Fourth Proportional to 22,478.46, 33,714.46 and 7,685.20

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Solution

The fourth proportional to 22,478.46, 33,714.46 and 7,685.20 is: 11,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.46 : 33,714.46 = 7,685.20 : x
  2. Step 2: Convert to fraction form
    22,478.46/33,714.46 = 7,685.20/x
  3. Step 3: Cross multiply
    22,478.46x = 33,714.46 × 7,685.20
  4. Step 4: Simplify right side
    22,478.46x = 259,102,367.99
  5. Step 5: Solve for x
    x = 259,102,367.99/22,478.46
  6. Step 6: Final answer
    x = 11,526.70

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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.