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Finding the Fourth Proportional to 7,876.80, 11,814.84 and 7,599.96

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Solution

The fourth proportional to 7,876.80, 11,814.84 and 7,599.96 is: 11,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.80 : 11,814.84 = 7,599.96 : x
  2. Step 2: Convert to fraction form
    7,876.80/11,814.84 = 7,599.96/x
  3. Step 3: Cross multiply
    7,876.80x = 11,814.84 × 7,599.96
  4. Step 4: Simplify right side
    7,876.80x = 89,792,311.41
  5. Step 5: Solve for x
    x = 89,792,311.41/7,876.80
  6. Step 6: Final answer
    x = 11,399.59

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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.