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Finding the Fourth Proportional to 9,770.58, 14,651.82 and 6,067.26

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Solution

The fourth proportional to 9,770.58, 14,651.82 and 6,067.26 is: 9,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.58 : 14,651.82 = 6,067.26 : x
  2. Step 2: Convert to fraction form
    9,770.58/14,651.82 = 6,067.26/x
  3. Step 3: Cross multiply
    9,770.58x = 14,651.82 × 6,067.26
  4. Step 4: Simplify right side
    9,770.58x = 88,896,401.41
  5. Step 5: Solve for x
    x = 88,896,401.41/9,770.58
  6. Step 6: Final answer
    x = 9,098.38

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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.