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Finding the Fourth Proportional to 5,161.70, 7,736.07 and 4,746.98

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Solution

The fourth proportional to 5,161.70, 7,736.07 and 4,746.98 is: 7,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.70 : 7,736.07 = 4,746.98 : x
  2. Step 2: Convert to fraction form
    5,161.70/7,736.07 = 4,746.98/x
  3. Step 3: Cross multiply
    5,161.70x = 7,736.07 × 4,746.98
  4. Step 4: Simplify right side
    5,161.70x = 36,722,969.57
  5. Step 5: Solve for x
    x = 36,722,969.57/5,161.70
  6. Step 6: Final answer
    x = 7,114.51

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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.