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Finding the Fourth Proportional to 25,530, 38,297.08 and 7,062.16

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Solution

The fourth proportional to 25,530, 38,297.08 and 7,062.16 is: 10,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,530 : 38,297.08 = 7,062.16 : x
  2. Step 2: Convert to fraction form
    25,530/38,297.08 = 7,062.16/x
  3. Step 3: Cross multiply
    25,530x = 38,297.08 × 7,062.16
  4. Step 4: Simplify right side
    25,530x = 270,460,106.49
  5. Step 5: Solve for x
    x = 270,460,106.49/25,530
  6. Step 6: Final answer
    x = 10,593.82

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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.