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Finding the Fourth Proportional to 9,796.80, 14,690.16 and 3,222.24

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Solution

The fourth proportional to 9,796.80, 14,690.16 and 3,222.24 is: 4,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.80 : 14,690.16 = 3,222.24 : x
  2. Step 2: Convert to fraction form
    9,796.80/14,690.16 = 3,222.24/x
  3. Step 3: Cross multiply
    9,796.80x = 14,690.16 × 3,222.24
  4. Step 4: Simplify right side
    9,796.80x = 47,335,221.16
  5. Step 5: Solve for x
    x = 47,335,221.16/9,796.80
  6. Step 6: Final answer
    x = 4,831.70

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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.