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Finding the Fourth Proportional to 11,294.08, 15,586.72 and 6,578.08

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Solution

The fourth proportional to 11,294.08, 15,586.72 and 6,578.08 is: 9,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.08 : 15,586.72 = 6,578.08 : x
  2. Step 2: Convert to fraction form
    11,294.08/15,586.72 = 6,578.08/x
  3. Step 3: Cross multiply
    11,294.08x = 15,586.72 × 6,578.08
  4. Step 4: Simplify right side
    11,294.08x = 102,530,691.10
  5. Step 5: Solve for x
    x = 102,530,691.10/11,294.08
  6. Step 6: Final answer
    x = 9,078.27

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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.