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Finding the Fourth Proportional to 22,644.68, 33,929.22 and 9,975.56

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Solution

The fourth proportional to 22,644.68, 33,929.22 and 9,975.56 is: 14,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.68 : 33,929.22 = 9,975.56 : x
  2. Step 2: Convert to fraction form
    22,644.68/33,929.22 = 9,975.56/x
  3. Step 3: Cross multiply
    22,644.68x = 33,929.22 × 9,975.56
  4. Step 4: Simplify right side
    22,644.68x = 338,462,800.22
  5. Step 5: Solve for x
    x = 338,462,800.22/22,644.68
  6. Step 6: Final answer
    x = 14,946.68

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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.