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Finding the Fourth Proportional to 11,542, 15,927.96 and 6,574.96

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Solution

The fourth proportional to 11,542, 15,927.96 and 6,574.96 is: 9,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542 : 15,927.96 = 6,574.96 : x
  2. Step 2: Convert to fraction form
    11,542/15,927.96 = 6,574.96/x
  3. Step 3: Cross multiply
    11,542x = 15,927.96 × 6,574.96
  4. Step 4: Simplify right side
    11,542x = 104,725,699.88
  5. Step 5: Solve for x
    x = 104,725,699.88/11,542
  6. Step 6: Final answer
    x = 9,073.44

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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.