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Finding the Fourth Proportional to 9,770.84, 14,659.50 and 6,496.82

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Solution

The fourth proportional to 9,770.84, 14,659.50 and 6,496.82 is: 9,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.84 : 14,659.50 = 6,496.82 : x
  2. Step 2: Convert to fraction form
    9,770.84/14,659.50 = 6,496.82/x
  3. Step 3: Cross multiply
    9,770.84x = 14,659.50 × 6,496.82
  4. Step 4: Simplify right side
    9,770.84x = 95,240,132.79
  5. Step 5: Solve for x
    x = 95,240,132.79/9,770.84
  6. Step 6: Final answer
    x = 9,747.38

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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.