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Finding the Fourth Proportional to 9,770.75, 14,656.53 and 2,845.25

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Solution

The fourth proportional to 9,770.75, 14,656.53 and 2,845.25 is: 4,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.75 : 14,656.53 = 2,845.25 : x
  2. Step 2: Convert to fraction form
    9,770.75/14,656.53 = 2,845.25/x
  3. Step 3: Cross multiply
    9,770.75x = 14,656.53 × 2,845.25
  4. Step 4: Simplify right side
    9,770.75x = 41,701,491.98
  5. Step 5: Solve for x
    x = 41,701,491.98/9,770.75
  6. Step 6: Final answer
    x = 4,267.99

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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.