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Finding the Fourth Proportional to 9,608.22, 14,410.14 and 3,452.22

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Solution

The fourth proportional to 9,608.22, 14,410.14 and 3,452.22 is: 5,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.22 : 14,410.14 = 3,452.22 : x
  2. Step 2: Convert to fraction form
    9,608.22/14,410.14 = 3,452.22/x
  3. Step 3: Cross multiply
    9,608.22x = 14,410.14 × 3,452.22
  4. Step 4: Simplify right side
    9,608.22x = 49,746,973.51
  5. Step 5: Solve for x
    x = 49,746,973.51/9,608.22
  6. Step 6: Final answer
    x = 5,177.54

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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.