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Finding the Fourth Proportional to 21,872.10, 32,808.15 and 6,077.10

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Solution

The fourth proportional to 21,872.10, 32,808.15 and 6,077.10 is: 9,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.10 : 32,808.15 = 6,077.10 : x
  2. Step 2: Convert to fraction form
    21,872.10/32,808.15 = 6,077.10/x
  3. Step 3: Cross multiply
    21,872.10x = 32,808.15 × 6,077.10
  4. Step 4: Simplify right side
    21,872.10x = 199,378,408.37
  5. Step 5: Solve for x
    x = 199,378,408.37/21,872.10
  6. Step 6: Final answer
    x = 9,115.65

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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.