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Finding the Fourth Proportional to 7,800.75, 11,701.13 and 3,122.87

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Solution

The fourth proportional to 7,800.75, 11,701.13 and 3,122.87 is: 4,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.75 : 11,701.13 = 3,122.87 : x
  2. Step 2: Convert to fraction form
    7,800.75/11,701.13 = 3,122.87/x
  3. Step 3: Cross multiply
    7,800.75x = 11,701.13 × 3,122.87
  4. Step 4: Simplify right side
    7,800.75x = 36,541,033.72
  5. Step 5: Solve for x
    x = 36,541,033.72/7,800.75
  6. Step 6: Final answer
    x = 4,684.30

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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.