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Finding the Fourth Proportional to 10,864.80, 16,297.20 and 8,677.80

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Solution

The fourth proportional to 10,864.80, 16,297.20 and 8,677.80 is: 13,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.80 : 16,297.20 = 8,677.80 : x
  2. Step 2: Convert to fraction form
    10,864.80/16,297.20 = 8,677.80/x
  3. Step 3: Cross multiply
    10,864.80x = 16,297.20 × 8,677.80
  4. Step 4: Simplify right side
    10,864.80x = 141,423,842.16
  5. Step 5: Solve for x
    x = 141,423,842.16/10,864.80
  6. Step 6: Final answer
    x = 13,016.70

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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.