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Finding the Fourth Proportional to 9,682.80, 14,506.16 and 8,132.87

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Solution

The fourth proportional to 9,682.80, 14,506.16 and 8,132.87 is: 12,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.80 : 14,506.16 = 8,132.87 : x
  2. Step 2: Convert to fraction form
    9,682.80/14,506.16 = 8,132.87/x
  3. Step 3: Cross multiply
    9,682.80x = 14,506.16 × 8,132.87
  4. Step 4: Simplify right side
    9,682.80x = 117,976,600.28
  5. Step 5: Solve for x
    x = 117,976,600.28/9,682.80
  6. Step 6: Final answer
    x = 12,184.14

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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.