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Finding the Fourth Proportional to 6,800.31, 10,200.46 and 2,417.94

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Solution

The fourth proportional to 6,800.31, 10,200.46 and 2,417.94 is: 3,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.31 : 10,200.46 = 2,417.94 : x
  2. Step 2: Convert to fraction form
    6,800.31/10,200.46 = 2,417.94/x
  3. Step 3: Cross multiply
    6,800.31x = 10,200.46 × 2,417.94
  4. Step 4: Simplify right side
    6,800.31x = 24,664,037.16
  5. Step 5: Solve for x
    x = 24,664,037.16/6,800.31
  6. Step 6: Final answer
    x = 3,626.90

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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.