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Finding the Fourth Proportional to 16,306.56, 22,503 and 8,854.56

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Solution

The fourth proportional to 16,306.56, 22,503 and 8,854.56 is: 12,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.56 : 22,503 = 8,854.56 : x
  2. Step 2: Convert to fraction form
    16,306.56/22,503 = 8,854.56/x
  3. Step 3: Cross multiply
    16,306.56x = 22,503 × 8,854.56
  4. Step 4: Simplify right side
    16,306.56x = 199,254,163.68
  5. Step 5: Solve for x
    x = 199,254,163.68/16,306.56
  6. Step 6: Final answer
    x = 12,219.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.