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Finding the Fourth Proportional to 7,847.75, 10,834.97 and 4,866.75

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Solution

The fourth proportional to 7,847.75, 10,834.97 and 4,866.75 is: 6,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.75 : 10,834.97 = 4,866.75 : x
  2. Step 2: Convert to fraction form
    7,847.75/10,834.97 = 4,866.75/x
  3. Step 3: Cross multiply
    7,847.75x = 10,834.97 × 4,866.75
  4. Step 4: Simplify right side
    7,847.75x = 52,731,065.91
  5. Step 5: Solve for x
    x = 52,731,065.91/7,847.75
  6. Step 6: Final answer
    x = 6,719.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.