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Finding the Fourth Proportional to 9,770.22, 14,653.89 and 8,137.26

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Solution

The fourth proportional to 9,770.22, 14,653.89 and 8,137.26 is: 12,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.22 : 14,653.89 = 8,137.26 : x
  2. Step 2: Convert to fraction form
    9,770.22/14,653.89 = 8,137.26/x
  3. Step 3: Cross multiply
    9,770.22x = 14,653.89 × 8,137.26
  4. Step 4: Simplify right side
    9,770.22x = 119,242,512.94
  5. Step 5: Solve for x
    x = 119,242,512.94/9,770.22
  6. Step 6: Final answer
    x = 12,204.69

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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.