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Finding the Fourth Proportional to 11,657.52, 17,491.44 and 6,109.54

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Solution

The fourth proportional to 11,657.52, 17,491.44 and 6,109.54 is: 9,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.52 : 17,491.44 = 6,109.54 : x
  2. Step 2: Convert to fraction form
    11,657.52/17,491.44 = 6,109.54/x
  3. Step 3: Cross multiply
    11,657.52x = 17,491.44 × 6,109.54
  4. Step 4: Simplify right side
    11,657.52x = 106,864,564.88
  5. Step 5: Solve for x
    x = 106,864,564.88/11,657.52
  6. Step 6: Final answer
    x = 9,167.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.