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Finding the Fourth Proportional to 9,508.14, 13,124.84 and 8,511.62

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Solution

The fourth proportional to 9,508.14, 13,124.84 and 8,511.62 is: 11,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.14 : 13,124.84 = 8,511.62 : x
  2. Step 2: Convert to fraction form
    9,508.14/13,124.84 = 8,511.62/x
  3. Step 3: Cross multiply
    9,508.14x = 13,124.84 × 8,511.62
  4. Step 4: Simplify right side
    9,508.14x = 111,713,542.46
  5. Step 5: Solve for x
    x = 111,713,542.46/9,508.14
  6. Step 6: Final answer
    x = 11,749.25

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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.