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Finding the Fourth Proportional to 9,770.73, 14,659.26 and 3,195.42

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Solution

The fourth proportional to 9,770.73, 14,659.26 and 3,195.42 is: 4,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.73 : 14,659.26 = 3,195.42 : x
  2. Step 2: Convert to fraction form
    9,770.73/14,659.26 = 3,195.42/x
  3. Step 3: Cross multiply
    9,770.73x = 14,659.26 × 3,195.42
  4. Step 4: Simplify right side
    9,770.73x = 46,842,492.59
  5. Step 5: Solve for x
    x = 46,842,492.59/9,770.73
  6. Step 6: Final answer
    x = 4,794.17

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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.