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Finding the Fourth Proportional to 9,772.85, 14,659.20 and 3,197.54

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Solution

The fourth proportional to 9,772.85, 14,659.20 and 3,197.54 is: 4,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.85 : 14,659.20 = 3,197.54 : x
  2. Step 2: Convert to fraction form
    9,772.85/14,659.20 = 3,197.54/x
  3. Step 3: Cross multiply
    9,772.85x = 14,659.20 × 3,197.54
  4. Step 4: Simplify right side
    9,772.85x = 46,873,305.07
  5. Step 5: Solve for x
    x = 46,873,305.07/9,772.85
  6. Step 6: Final answer
    x = 4,796.28

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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.