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Finding the Fourth Proportional to 4,960.96, 7,497.76 and 4,874.90

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Solution

The fourth proportional to 4,960.96, 7,497.76 and 4,874.90 is: 7,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.96 : 7,497.76 = 4,874.90 : x
  2. Step 2: Convert to fraction form
    4,960.96/7,497.76 = 4,874.90/x
  3. Step 3: Cross multiply
    4,960.96x = 7,497.76 × 4,874.90
  4. Step 4: Simplify right side
    4,960.96x = 36,550,830.22
  5. Step 5: Solve for x
    x = 36,550,830.22/4,960.96
  6. Step 6: Final answer
    x = 7,367.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.