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Finding the Fourth Proportional to 11,605.91, 16,010.33 and 7,824.29

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Solution

The fourth proportional to 11,605.91, 16,010.33 and 7,824.29 is: 10,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.91 : 16,010.33 = 7,824.29 : x
  2. Step 2: Convert to fraction form
    11,605.91/16,010.33 = 7,824.29/x
  3. Step 3: Cross multiply
    11,605.91x = 16,010.33 × 7,824.29
  4. Step 4: Simplify right side
    11,605.91x = 125,269,345.74
  5. Step 5: Solve for x
    x = 125,269,345.74/11,605.91
  6. Step 6: Final answer
    x = 10,793.59

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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.