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Finding the Fourth Proportional to 22,005.14, 32,995.76 and 7,766.48

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Solution

The fourth proportional to 22,005.14, 32,995.76 and 7,766.48 is: 11,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.14 : 32,995.76 = 7,766.48 : x
  2. Step 2: Convert to fraction form
    22,005.14/32,995.76 = 7,766.48/x
  3. Step 3: Cross multiply
    22,005.14x = 32,995.76 × 7,766.48
  4. Step 4: Simplify right side
    22,005.14x = 256,260,953.78
  5. Step 5: Solve for x
    x = 256,260,953.78/22,005.14
  6. Step 6: Final answer
    x = 11,645.51

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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.