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Finding the Fourth Proportional to 4,974.97, 7,462.68 and 1,688.09

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Solution

The fourth proportional to 4,974.97, 7,462.68 and 1,688.09 is: 2,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.97 : 7,462.68 = 1,688.09 : x
  2. Step 2: Convert to fraction form
    4,974.97/7,462.68 = 1,688.09/x
  3. Step 3: Cross multiply
    4,974.97x = 7,462.68 × 1,688.09
  4. Step 4: Simplify right side
    4,974.97x = 12,597,683.31
  5. Step 5: Solve for x
    x = 12,597,683.31/4,974.97
  6. Step 6: Final answer
    x = 2,532.21

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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.