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Finding the Fourth Proportional to 10,927.94, 16,391.90 and 7,229.31

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Solution

The fourth proportional to 10,927.94, 16,391.90 and 7,229.31 is: 10,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.94 : 16,391.90 = 7,229.31 : x
  2. Step 2: Convert to fraction form
    10,927.94/16,391.90 = 7,229.31/x
  3. Step 3: Cross multiply
    10,927.94x = 16,391.90 × 7,229.31
  4. Step 4: Simplify right side
    10,927.94x = 118,502,129.29
  5. Step 5: Solve for x
    x = 118,502,129.29/10,927.94
  6. Step 6: Final answer
    x = 10,843.96

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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.