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Finding the Fourth Proportional to 9,997.76, 14,997 and 5,053.52

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Solution

The fourth proportional to 9,997.76, 14,997 and 5,053.52 is: 7,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.76 : 14,997 = 5,053.52 : x
  2. Step 2: Convert to fraction form
    9,997.76/14,997 = 5,053.52/x
  3. Step 3: Cross multiply
    9,997.76x = 14,997 × 5,053.52
  4. Step 4: Simplify right side
    9,997.76x = 75,787,639.44
  5. Step 5: Solve for x
    x = 75,787,639.44/9,997.76
  6. Step 6: Final answer
    x = 7,580.46

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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.