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Finding the Fourth Proportional to 4,863.16, 7,294.68 and 1,400.40

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Solution

The fourth proportional to 4,863.16, 7,294.68 and 1,400.40 is: 2,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.16 : 7,294.68 = 1,400.40 : x
  2. Step 2: Convert to fraction form
    4,863.16/7,294.68 = 1,400.40/x
  3. Step 3: Cross multiply
    4,863.16x = 7,294.68 × 1,400.40
  4. Step 4: Simplify right side
    4,863.16x = 10,215,469.87
  5. Step 5: Solve for x
    x = 10,215,469.87/4,863.16
  6. Step 6: Final answer
    x = 2,100.58

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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.