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Finding the Fourth Proportional to 22,417.90, 33,608 and 9,758.20

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Solution

The fourth proportional to 22,417.90, 33,608 and 9,758.20 is: 14,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,417.90 : 33,608 = 9,758.20 : x
  2. Step 2: Convert to fraction form
    22,417.90/33,608 = 9,758.20/x
  3. Step 3: Cross multiply
    22,417.90x = 33,608 × 9,758.20
  4. Step 4: Simplify right side
    22,417.90x = 327,953,585.60
  5. Step 5: Solve for x
    x = 327,953,585.60/22,417.90
  6. Step 6: Final answer
    x = 14,629.09

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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.