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Finding the Fourth Proportional to 10,707.83, 14,776.49 and 5,927.97

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Solution

The fourth proportional to 10,707.83, 14,776.49 and 5,927.97 is: 8,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.83 : 14,776.49 = 5,927.97 : x
  2. Step 2: Convert to fraction form
    10,707.83/14,776.49 = 5,927.97/x
  3. Step 3: Cross multiply
    10,707.83x = 14,776.49 × 5,927.97
  4. Step 4: Simplify right side
    10,707.83x = 87,594,589.43
  5. Step 5: Solve for x
    x = 87,594,589.43/10,707.83
  6. Step 6: Final answer
    x = 8,180.42

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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.