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Finding the Fourth Proportional to 4,960.64, 6,845.76 and 2,722.38

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Solution

The fourth proportional to 4,960.64, 6,845.76 and 2,722.38 is: 3,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.64 : 6,845.76 = 2,722.38 : x
  2. Step 2: Convert to fraction form
    4,960.64/6,845.76 = 2,722.38/x
  3. Step 3: Cross multiply
    4,960.64x = 6,845.76 × 2,722.38
  4. Step 4: Simplify right side
    4,960.64x = 18,636,760.11
  5. Step 5: Solve for x
    x = 18,636,760.11/4,960.64
  6. Step 6: Final answer
    x = 3,756.93

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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.