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Finding the Fourth Proportional to 3,747.93, 5,622.09 and 974.62

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Solution

The fourth proportional to 3,747.93, 5,622.09 and 974.62 is: 1,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.93 : 5,622.09 = 974.62 : x
  2. Step 2: Convert to fraction form
    3,747.93/5,622.09 = 974.62/x
  3. Step 3: Cross multiply
    3,747.93x = 5,622.09 × 974.62
  4. Step 4: Simplify right side
    3,747.93x = 5,479,378.59
  5. Step 5: Solve for x
    x = 5,479,378.59/3,747.93
  6. Step 6: Final answer
    x = 1,461.98

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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.