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Finding the Fourth Proportional to 5,649.73, 8,466.41 and 4,009.48

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Solution

The fourth proportional to 5,649.73, 8,466.41 and 4,009.48 is: 6,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.73 : 8,466.41 = 4,009.48 : x
  2. Step 2: Convert to fraction form
    5,649.73/8,466.41 = 4,009.48/x
  3. Step 3: Cross multiply
    5,649.73x = 8,466.41 × 4,009.48
  4. Step 4: Simplify right side
    5,649.73x = 33,945,881.52
  5. Step 5: Solve for x
    x = 33,945,881.52/5,649.73
  6. Step 6: Final answer
    x = 6,008.41

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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.