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Finding the Fourth Proportional to 11,537, 15,921.06 and 6,569.96

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Solution

The fourth proportional to 11,537, 15,921.06 and 6,569.96 is: 9,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537 : 15,921.06 = 6,569.96 : x
  2. Step 2: Convert to fraction form
    11,537/15,921.06 = 6,569.96/x
  3. Step 3: Cross multiply
    11,537x = 15,921.06 × 6,569.96
  4. Step 4: Simplify right side
    11,537x = 104,600,727.36
  5. Step 5: Solve for x
    x = 104,600,727.36/11,537
  6. Step 6: Final answer
    x = 9,066.54

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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.