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Finding the Fourth Proportional to 7,114.60, 10,671.90 and 3,834.10

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Solution

The fourth proportional to 7,114.60, 10,671.90 and 3,834.10 is: 5,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.60 : 10,671.90 = 3,834.10 : x
  2. Step 2: Convert to fraction form
    7,114.60/10,671.90 = 3,834.10/x
  3. Step 3: Cross multiply
    7,114.60x = 10,671.90 × 3,834.10
  4. Step 4: Simplify right side
    7,114.60x = 40,917,131.79
  5. Step 5: Solve for x
    x = 40,917,131.79/7,114.60
  6. Step 6: Final answer
    x = 5,751.15

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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.