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Finding the Fourth Proportional to 9,008, 13,514.16 and 2,852

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Solution

The fourth proportional to 9,008, 13,514.16 and 2,852 is: 4,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,008 : 13,514.16 = 2,852 : x
  2. Step 2: Convert to fraction form
    9,008/13,514.16 = 2,852/x
  3. Step 3: Cross multiply
    9,008x = 13,514.16 × 2,852
  4. Step 4: Simplify right side
    9,008x = 38,542,384.32
  5. Step 5: Solve for x
    x = 38,542,384.32/9,008
  6. Step 6: Final answer
    x = 4,278.68

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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.