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Finding the Fourth Proportional to 6,831.98, 9,423.08 and 4,708.20

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Solution

The fourth proportional to 6,831.98, 9,423.08 and 4,708.20 is: 6,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.98 : 9,423.08 = 4,708.20 : x
  2. Step 2: Convert to fraction form
    6,831.98/9,423.08 = 4,708.20/x
  3. Step 3: Cross multiply
    6,831.98x = 9,423.08 × 4,708.20
  4. Step 4: Simplify right side
    6,831.98x = 44,365,745.26
  5. Step 5: Solve for x
    x = 44,365,745.26/6,831.98
  6. Step 6: Final answer
    x = 6,493.83

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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.