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Finding the Fourth Proportional to 4,596.16, 6,894.24 and 2,747.80

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Solution

The fourth proportional to 4,596.16, 6,894.24 and 2,747.80 is: 4,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.16 : 6,894.24 = 2,747.80 : x
  2. Step 2: Convert to fraction form
    4,596.16/6,894.24 = 2,747.80/x
  3. Step 3: Cross multiply
    4,596.16x = 6,894.24 × 2,747.80
  4. Step 4: Simplify right side
    4,596.16x = 18,943,978.93
  5. Step 5: Solve for x
    x = 18,943,978.93/4,596.16
  6. Step 6: Final answer
    x = 4,121.70

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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.