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Finding the Fourth Proportional to 9,997.33, 14,972.64 and 7,903.27

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Solution

The fourth proportional to 9,997.33, 14,972.64 and 7,903.27 is: 11,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.33 : 14,972.64 = 7,903.27 : x
  2. Step 2: Convert to fraction form
    9,997.33/14,972.64 = 7,903.27/x
  3. Step 3: Cross multiply
    9,997.33x = 14,972.64 × 7,903.27
  4. Step 4: Simplify right side
    9,997.33x = 118,332,816.53
  5. Step 5: Solve for x
    x = 118,332,816.53/9,997.33
  6. Step 6: Final answer
    x = 11,836.44

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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.