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Finding the Fourth Proportional to 9,770.51, 14,655.56 and 2,750.45

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Solution

The fourth proportional to 9,770.51, 14,655.56 and 2,750.45 is: 4,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.51 : 14,655.56 = 2,750.45 : x
  2. Step 2: Convert to fraction form
    9,770.51/14,655.56 = 2,750.45/x
  3. Step 3: Cross multiply
    9,770.51x = 14,655.56 × 2,750.45
  4. Step 4: Simplify right side
    9,770.51x = 40,309,297.97
  5. Step 5: Solve for x
    x = 40,309,297.97/9,770.51
  6. Step 6: Final answer
    x = 4,125.61

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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.