Home / 11,577.35-15,975.78-6,542

Finding the Fourth Proportional to 11,577.35, 15,975.78 and 6,542

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Solution

The fourth proportional to 11,577.35, 15,975.78 and 6,542 is: 9,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.35 : 15,975.78 = 6,542 : x
  2. Step 2: Convert to fraction form
    11,577.35/15,975.78 = 6,542/x
  3. Step 3: Cross multiply
    11,577.35x = 15,975.78 × 6,542
  4. Step 4: Simplify right side
    11,577.35x = 104,513,552.76
  5. Step 5: Solve for x
    x = 104,513,552.76/11,577.35
  6. Step 6: Final answer
    x = 9,027.42

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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.