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Finding the Fourth Proportional to 11,539.80, 15,926.22 and 6,504.12

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Solution

The fourth proportional to 11,539.80, 15,926.22 and 6,504.12 is: 8,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.80 : 15,926.22 = 6,504.12 : x
  2. Step 2: Convert to fraction form
    11,539.80/15,926.22 = 6,504.12/x
  3. Step 3: Cross multiply
    11,539.80x = 15,926.22 × 6,504.12
  4. Step 4: Simplify right side
    11,539.80x = 103,586,046.03
  5. Step 5: Solve for x
    x = 103,586,046.03/11,539.80
  6. Step 6: Final answer
    x = 8,976.42

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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.