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Finding the Fourth Proportional to 9,770.79, 13,479.28 and 5,992.44

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Solution

The fourth proportional to 9,770.79, 13,479.28 and 5,992.44 is: 8,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.79 : 13,479.28 = 5,992.44 : x
  2. Step 2: Convert to fraction form
    9,770.79/13,479.28 = 5,992.44/x
  3. Step 3: Cross multiply
    9,770.79x = 13,479.28 × 5,992.44
  4. Step 4: Simplify right side
    9,770.79x = 80,773,776.64
  5. Step 5: Solve for x
    x = 80,773,776.64/9,770.79
  6. Step 6: Final answer
    x = 8,266.86

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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.