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Finding the Fourth Proportional to 3,596.38, 4,963 and 2,024.98

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Solution

The fourth proportional to 3,596.38, 4,963 and 2,024.98 is: 2,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.38 : 4,963 = 2,024.98 : x
  2. Step 2: Convert to fraction form
    3,596.38/4,963 = 2,024.98/x
  3. Step 3: Cross multiply
    3,596.38x = 4,963 × 2,024.98
  4. Step 4: Simplify right side
    3,596.38x = 10,049,975.74
  5. Step 5: Solve for x
    x = 10,049,975.74/3,596.38
  6. Step 6: Final answer
    x = 2,794.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.