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Finding the Fourth Proportional to 10,723, 14,797.78 and 6,997

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Solution

The fourth proportional to 10,723, 14,797.78 and 6,997 is: 9,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723 : 14,797.78 = 6,997 : x
  2. Step 2: Convert to fraction form
    10,723/14,797.78 = 6,997/x
  3. Step 3: Cross multiply
    10,723x = 14,797.78 × 6,997
  4. Step 4: Simplify right side
    10,723x = 103,540,066.66
  5. Step 5: Solve for x
    x = 103,540,066.66/10,723
  6. Step 6: Final answer
    x = 9,655.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.