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Finding the Fourth Proportional to 8,952, 13,424.34 and 4,020.30

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Solution

The fourth proportional to 8,952, 13,424.34 and 4,020.30 is: 6,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952 : 13,424.34 = 4,020.30 : x
  2. Step 2: Convert to fraction form
    8,952/13,424.34 = 4,020.30/x
  3. Step 3: Cross multiply
    8,952x = 13,424.34 × 4,020.30
  4. Step 4: Simplify right side
    8,952x = 53,969,874.10
  5. Step 5: Solve for x
    x = 53,969,874.10/8,952
  6. Step 6: Final answer
    x = 6,028.81

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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.