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Finding the Fourth Proportional to 4,626.96, 6,941.52 and 1,340.12

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Solution

The fourth proportional to 4,626.96, 6,941.52 and 1,340.12 is: 2,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.96 : 6,941.52 = 1,340.12 : x
  2. Step 2: Convert to fraction form
    4,626.96/6,941.52 = 1,340.12/x
  3. Step 3: Cross multiply
    4,626.96x = 6,941.52 × 1,340.12
  4. Step 4: Simplify right side
    4,626.96x = 9,302,469.78
  5. Step 5: Solve for x
    x = 9,302,469.78/4,626.96
  6. Step 6: Final answer
    x = 2,010.49

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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.