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Finding the Fourth Proportional to 9,766.01, 14,624.00 and 6,759.88

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Solution

The fourth proportional to 9,766.01, 14,624.00 and 6,759.88 is: 10,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.01 : 14,624.00 = 6,759.88 : x
  2. Step 2: Convert to fraction form
    9,766.01/14,624.00 = 6,759.88/x
  3. Step 3: Cross multiply
    9,766.01x = 14,624.00 × 6,759.88
  4. Step 4: Simplify right side
    9,766.01x = 98,856,533.43
  5. Step 5: Solve for x
    x = 98,856,533.43/9,766.01
  6. Step 6: Final answer
    x = 10,122.51

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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.