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Finding the Fourth Proportional to 10,873.80, 16,310.70 and 8,281.80

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Solution

The fourth proportional to 10,873.80, 16,310.70 and 8,281.80 is: 12,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.80 : 16,310.70 = 8,281.80 : x
  2. Step 2: Convert to fraction form
    10,873.80/16,310.70 = 8,281.80/x
  3. Step 3: Cross multiply
    10,873.80x = 16,310.70 × 8,281.80
  4. Step 4: Simplify right side
    10,873.80x = 135,081,955.26
  5. Step 5: Solve for x
    x = 135,081,955.26/10,873.80
  6. Step 6: Final answer
    x = 12,422.70

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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.