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Finding the Fourth Proportional to 7,909.80, 11,864.70 and 5,722.80

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Solution

The fourth proportional to 7,909.80, 11,864.70 and 5,722.80 is: 8,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.80 : 11,864.70 = 5,722.80 : x
  2. Step 2: Convert to fraction form
    7,909.80/11,864.70 = 5,722.80/x
  3. Step 3: Cross multiply
    7,909.80x = 11,864.70 × 5,722.80
  4. Step 4: Simplify right side
    7,909.80x = 67,899,305.16
  5. Step 5: Solve for x
    x = 67,899,305.16/7,909.80
  6. Step 6: Final answer
    x = 8,584.20

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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.