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Finding the Fourth Proportional to 11,495.86, 15,866 and 7,022.19

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Solution

The fourth proportional to 11,495.86, 15,866 and 7,022.19 is: 9,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.86 : 15,866 = 7,022.19 : x
  2. Step 2: Convert to fraction form
    11,495.86/15,866 = 7,022.19/x
  3. Step 3: Cross multiply
    11,495.86x = 15,866 × 7,022.19
  4. Step 4: Simplify right side
    11,495.86x = 111,413,987.21
  5. Step 5: Solve for x
    x = 111,413,987.21/11,495.86
  6. Step 6: Final answer
    x = 9,691.66

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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.