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Finding the Fourth Proportional to 9,770.96, 14,653.63 and 2,750.49

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Solution

The fourth proportional to 9,770.96, 14,653.63 and 2,750.49 is: 4,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.96 : 14,653.63 = 2,750.49 : x
  2. Step 2: Convert to fraction form
    9,770.96/14,653.63 = 2,750.49/x
  3. Step 3: Cross multiply
    9,770.96x = 14,653.63 × 2,750.49
  4. Step 4: Simplify right side
    9,770.96x = 40,304,662.78
  5. Step 5: Solve for x
    x = 40,304,662.78/9,770.96
  6. Step 6: Final answer
    x = 4,124.94

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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.