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Finding the Fourth Proportional to 7,114.70, 10,672.05 and 3,834.20

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Solution

The fourth proportional to 7,114.70, 10,672.05 and 3,834.20 is: 5,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.70 : 10,672.05 = 3,834.20 : x
  2. Step 2: Convert to fraction form
    7,114.70/10,672.05 = 3,834.20/x
  3. Step 3: Cross multiply
    7,114.70x = 10,672.05 × 3,834.20
  4. Step 4: Simplify right side
    7,114.70x = 40,918,774.11
  5. Step 5: Solve for x
    x = 40,918,774.11/7,114.70
  6. Step 6: Final answer
    x = 5,751.30

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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.