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Finding the Fourth Proportional to 9,754.62, 14,607.21 and 6,999

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Solution

The fourth proportional to 9,754.62, 14,607.21 and 6,999 is: 10,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.62 : 14,607.21 = 6,999 : x
  2. Step 2: Convert to fraction form
    9,754.62/14,607.21 = 6,999/x
  3. Step 3: Cross multiply
    9,754.62x = 14,607.21 × 6,999
  4. Step 4: Simplify right side
    9,754.62x = 102,235,862.79
  5. Step 5: Solve for x
    x = 102,235,862.79/9,754.62
  6. Step 6: Final answer
    x = 10,480.76

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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.