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Finding the Fourth Proportional to 9,991.84, 14,973.48 and 7,338.54

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Solution

The fourth proportional to 9,991.84, 14,973.48 and 7,338.54 is: 10,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.84 : 14,973.48 = 7,338.54 : x
  2. Step 2: Convert to fraction form
    9,991.84/14,973.48 = 7,338.54/x
  3. Step 3: Cross multiply
    9,991.84x = 14,973.48 × 7,338.54
  4. Step 4: Simplify right side
    9,991.84x = 109,883,481.92
  5. Step 5: Solve for x
    x = 109,883,481.92/9,991.84
  6. Step 6: Final answer
    x = 10,997.32

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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.