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Finding the Fourth Proportional to 6,403.88, 8,831.68 and 4,163.69

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Solution

The fourth proportional to 6,403.88, 8,831.68 and 4,163.69 is: 5,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.88 : 8,831.68 = 4,163.69 : x
  2. Step 2: Convert to fraction form
    6,403.88/8,831.68 = 4,163.69/x
  3. Step 3: Cross multiply
    6,403.88x = 8,831.68 × 4,163.69
  4. Step 4: Simplify right side
    6,403.88x = 36,772,323.13
  5. Step 5: Solve for x
    x = 36,772,323.13/6,403.88
  6. Step 6: Final answer
    x = 5,742.20

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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.