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Finding the Fourth Proportional to 4,052.44, 6,078.66 and 974.44

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Solution

The fourth proportional to 4,052.44, 6,078.66 and 974.44 is: 1,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.44 : 6,078.66 = 974.44 : x
  2. Step 2: Convert to fraction form
    4,052.44/6,078.66 = 974.44/x
  3. Step 3: Cross multiply
    4,052.44x = 6,078.66 × 974.44
  4. Step 4: Simplify right side
    4,052.44x = 5,923,289.45
  5. Step 5: Solve for x
    x = 5,923,289.45/4,052.44
  6. Step 6: Final answer
    x = 1,461.66

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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.