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Finding the Fourth Proportional to 21,872.60, 32,808.90 and 6,077.60

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Solution

The fourth proportional to 21,872.60, 32,808.90 and 6,077.60 is: 9,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.60 : 32,808.90 = 6,077.60 : x
  2. Step 2: Convert to fraction form
    21,872.60/32,808.90 = 6,077.60/x
  3. Step 3: Cross multiply
    21,872.60x = 32,808.90 × 6,077.60
  4. Step 4: Simplify right side
    21,872.60x = 199,399,370.64
  5. Step 5: Solve for x
    x = 199,399,370.64/21,872.60
  6. Step 6: Final answer
    x = 9,116.40

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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.