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Finding the Fourth Proportional to 6,588.41, 9,092.14 and 3,604.44

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Solution

The fourth proportional to 6,588.41, 9,092.14 and 3,604.44 is: 4,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.41 : 9,092.14 = 3,604.44 : x
  2. Step 2: Convert to fraction form
    6,588.41/9,092.14 = 3,604.44/x
  3. Step 3: Cross multiply
    6,588.41x = 9,092.14 × 3,604.44
  4. Step 4: Simplify right side
    6,588.41x = 32,772,073.10
  5. Step 5: Solve for x
    x = 32,772,073.10/6,588.41
  6. Step 6: Final answer
    x = 4,974.20

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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.