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Finding the Fourth Proportional to 6,761.21, 10,140.24 and 1,831.24

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Solution

The fourth proportional to 6,761.21, 10,140.24 and 1,831.24 is: 2,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.21 : 10,140.24 = 1,831.24 : x
  2. Step 2: Convert to fraction form
    6,761.21/10,140.24 = 1,831.24/x
  3. Step 3: Cross multiply
    6,761.21x = 10,140.24 × 1,831.24
  4. Step 4: Simplify right side
    6,761.21x = 18,569,162.40
  5. Step 5: Solve for x
    x = 18,569,162.40/6,761.21
  6. Step 6: Final answer
    x = 2,746.43

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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.