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Finding the Fourth Proportional to 9,770.98, 14,656.25 and 2,375.48

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Solution

The fourth proportional to 9,770.98, 14,656.25 and 2,375.48 is: 3,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.98 : 14,656.25 = 2,375.48 : x
  2. Step 2: Convert to fraction form
    9,770.98/14,656.25 = 2,375.48/x
  3. Step 3: Cross multiply
    9,770.98x = 14,656.25 × 2,375.48
  4. Step 4: Simplify right side
    9,770.98x = 34,815,561.41
  5. Step 5: Solve for x
    x = 34,815,561.41/9,770.98
  6. Step 6: Final answer
    x = 3,563.16

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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.