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Finding the Fourth Proportional to 11,662.52, 17,498.95 and 6,114.54

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Solution

The fourth proportional to 11,662.52, 17,498.95 and 6,114.54 is: 9,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.52 : 17,498.95 = 6,114.54 : x
  2. Step 2: Convert to fraction form
    11,662.52/17,498.95 = 6,114.54/x
  3. Step 3: Cross multiply
    11,662.52x = 17,498.95 × 6,114.54
  4. Step 4: Simplify right side
    11,662.52x = 106,998,014.45
  5. Step 5: Solve for x
    x = 106,998,014.45/11,662.52
  6. Step 6: Final answer
    x = 9,174.52

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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.