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Finding the Fourth Proportional to 4,660.78, 6,993.60 and 4,391.86

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Solution

The fourth proportional to 4,660.78, 6,993.60 and 4,391.86 is: 6,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.78 : 6,993.60 = 4,391.86 : x
  2. Step 2: Convert to fraction form
    4,660.78/6,993.60 = 4,391.86/x
  3. Step 3: Cross multiply
    4,660.78x = 6,993.60 × 4,391.86
  4. Step 4: Simplify right side
    4,660.78x = 30,714,912.10
  5. Step 5: Solve for x
    x = 30,714,912.10/4,660.78
  6. Step 6: Final answer
    x = 6,590.08

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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.