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Finding the Fourth Proportional to 22,477.42, 33,697.09 and 9,321.58

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Solution

The fourth proportional to 22,477.42, 33,697.09 and 9,321.58 is: 13,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.42 : 33,697.09 = 9,321.58 : x
  2. Step 2: Convert to fraction form
    22,477.42/33,697.09 = 9,321.58/x
  3. Step 3: Cross multiply
    22,477.42x = 33,697.09 × 9,321.58
  4. Step 4: Simplify right side
    22,477.42x = 314,110,120.20
  5. Step 5: Solve for x
    x = 314,110,120.20/22,477.42
  6. Step 6: Final answer
    x = 13,974.47

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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.