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Finding the Fourth Proportional to 11,565, 17,362.38 and 6,022.14

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Solution

The fourth proportional to 11,565, 17,362.38 and 6,022.14 is: 9,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565 : 17,362.38 = 6,022.14 : x
  2. Step 2: Convert to fraction form
    11,565/17,362.38 = 6,022.14/x
  3. Step 3: Cross multiply
    11,565x = 17,362.38 × 6,022.14
  4. Step 4: Simplify right side
    11,565x = 104,558,683.09
  5. Step 5: Solve for x
    x = 104,558,683.09/11,565
  6. Step 6: Final answer
    x = 9,040.96

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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.