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Finding the Fourth Proportional to 11,558.82, 15,952.08 and 6,523.08

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Solution

The fourth proportional to 11,558.82, 15,952.08 and 6,523.08 is: 9,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.82 : 15,952.08 = 6,523.08 : x
  2. Step 2: Convert to fraction form
    11,558.82/15,952.08 = 6,523.08/x
  3. Step 3: Cross multiply
    11,558.82x = 15,952.08 × 6,523.08
  4. Step 4: Simplify right side
    11,558.82x = 104,056,694.01
  5. Step 5: Solve for x
    x = 104,056,694.01/11,558.82
  6. Step 6: Final answer
    x = 9,002.36

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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.