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Finding the Fourth Proportional to 9,927, 13,699.26 and 5,511

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Solution

The fourth proportional to 9,927, 13,699.26 and 5,511 is: 7,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927 : 13,699.26 = 5,511 : x
  2. Step 2: Convert to fraction form
    9,927/13,699.26 = 5,511/x
  3. Step 3: Cross multiply
    9,927x = 13,699.26 × 5,511
  4. Step 4: Simplify right side
    9,927x = 75,496,621.86
  5. Step 5: Solve for x
    x = 75,496,621.86/9,927
  6. Step 6: Final answer
    x = 7,605.18

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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.