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Finding the Fourth Proportional to 11,649.73, 17,460.02 and 9,174.77

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Solution

The fourth proportional to 11,649.73, 17,460.02 and 9,174.77 is: 13,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.73 : 17,460.02 = 9,174.77 : x
  2. Step 2: Convert to fraction form
    11,649.73/17,460.02 = 9,174.77/x
  3. Step 3: Cross multiply
    11,649.73x = 17,460.02 × 9,174.77
  4. Step 4: Simplify right side
    11,649.73x = 160,191,621.82
  5. Step 5: Solve for x
    x = 160,191,621.82/11,649.73
  6. Step 6: Final answer
    x = 13,750.68

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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.