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Finding the Fourth Proportional to 6,648.47, 9,174.91 and 3,664.24

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Solution

The fourth proportional to 6,648.47, 9,174.91 and 3,664.24 is: 5,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.47 : 9,174.91 = 3,664.24 : x
  2. Step 2: Convert to fraction form
    6,648.47/9,174.91 = 3,664.24/x
  3. Step 3: Cross multiply
    6,648.47x = 9,174.91 × 3,664.24
  4. Step 4: Simplify right side
    6,648.47x = 33,619,040.12
  5. Step 5: Solve for x
    x = 33,619,040.12/6,648.47
  6. Step 6: Final answer
    x = 5,056.66

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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.