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Finding the Fourth Proportional to 7,168.24, 9,892.02 and 4,184.02

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Solution

The fourth proportional to 7,168.24, 9,892.02 and 4,184.02 is: 5,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.24 : 9,892.02 = 4,184.02 : x
  2. Step 2: Convert to fraction form
    7,168.24/9,892.02 = 4,184.02/x
  3. Step 3: Cross multiply
    7,168.24x = 9,892.02 × 4,184.02
  4. Step 4: Simplify right side
    7,168.24x = 41,388,409.52
  5. Step 5: Solve for x
    x = 41,388,409.52/7,168.24
  6. Step 6: Final answer
    x = 5,773.86

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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.