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Finding the Fourth Proportional to 9,770.48, 14,655.72 and 6,489.98

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Solution

The fourth proportional to 9,770.48, 14,655.72 and 6,489.98 is: 9,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.48 : 14,655.72 = 6,489.98 : x
  2. Step 2: Convert to fraction form
    9,770.48/14,655.72 = 6,489.98/x
  3. Step 3: Cross multiply
    9,770.48x = 14,655.72 × 6,489.98
  4. Step 4: Simplify right side
    9,770.48x = 95,115,329.69
  5. Step 5: Solve for x
    x = 95,115,329.69/9,770.48
  6. Step 6: Final answer
    x = 9,734.97

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Similar ratio
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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.