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Finding the Fourth Proportional to 11,927.40, 16,463.02 and 7,448.44

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Solution

The fourth proportional to 11,927.40, 16,463.02 and 7,448.44 is: 10,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.40 : 16,463.02 = 7,448.44 : x
  2. Step 2: Convert to fraction form
    11,927.40/16,463.02 = 7,448.44/x
  3. Step 3: Cross multiply
    11,927.40x = 16,463.02 × 7,448.44
  4. Step 4: Simplify right side
    11,927.40x = 122,623,816.69
  5. Step 5: Solve for x
    x = 122,623,816.69/11,927.40
  6. Step 6: Final answer
    x = 10,280.85

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1.5x scale

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.