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Finding the Fourth Proportional to 11,539.14, 15,924.04 and 6,503.38

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Solution

The fourth proportional to 11,539.14, 15,924.04 and 6,503.38 is: 8,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.14 : 15,924.04 = 6,503.38 : x
  2. Step 2: Convert to fraction form
    11,539.14/15,924.04 = 6,503.38/x
  3. Step 3: Cross multiply
    11,539.14x = 15,924.04 × 6,503.38
  4. Step 4: Simplify right side
    11,539.14x = 103,560,083.26
  5. Step 5: Solve for x
    x = 103,560,083.26/11,539.14
  6. Step 6: Final answer
    x = 8,974.68

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1.5x scale

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.