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Finding the Fourth Proportional to 4,950.70, 6,831.98 and 2,712.22

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Solution

The fourth proportional to 4,950.70, 6,831.98 and 2,712.22 is: 3,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.70 : 6,831.98 = 2,712.22 : x
  2. Step 2: Convert to fraction form
    4,950.70/6,831.98 = 2,712.22/x
  3. Step 3: Cross multiply
    4,950.70x = 6,831.98 × 2,712.22
  4. Step 4: Simplify right side
    4,950.70x = 18,529,819.23
  5. Step 5: Solve for x
    x = 18,529,819.23/4,950.70
  6. Step 6: Final answer
    x = 3,742.87

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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.