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Finding the Fourth Proportional to 4,165.61, 6,204.22 and 4,145.50

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Solution

The fourth proportional to 4,165.61, 6,204.22 and 4,145.50 is: 6,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.61 : 6,204.22 = 4,145.50 : x
  2. Step 2: Convert to fraction form
    4,165.61/6,204.22 = 4,145.50/x
  3. Step 3: Cross multiply
    4,165.61x = 6,204.22 × 4,145.50
  4. Step 4: Simplify right side
    4,165.61x = 25,719,568.14
  5. Step 5: Solve for x
    x = 25,719,568.14/4,165.61
  6. Step 6: Final answer
    x = 6,174.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.