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Finding the Fourth Proportional to 8,986.97, 13,528.98 and 8,082.77

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Solution

The fourth proportional to 8,986.97, 13,528.98 and 8,082.77 is: 12,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.97 : 13,528.98 = 8,082.77 : x
  2. Step 2: Convert to fraction form
    8,986.97/13,528.98 = 8,082.77/x
  3. Step 3: Cross multiply
    8,986.97x = 13,528.98 × 8,082.77
  4. Step 4: Simplify right side
    8,986.97x = 109,351,637.19
  5. Step 5: Solve for x
    x = 109,351,637.19/8,986.97
  6. Step 6: Final answer
    x = 12,167.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.