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Finding the Fourth Proportional to 4,892.94, 7,339.37 and 1,195.22

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Solution

The fourth proportional to 4,892.94, 7,339.37 and 1,195.22 is: 1,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.94 : 7,339.37 = 1,195.22 : x
  2. Step 2: Convert to fraction form
    4,892.94/7,339.37 = 1,195.22/x
  3. Step 3: Cross multiply
    4,892.94x = 7,339.37 × 1,195.22
  4. Step 4: Simplify right side
    4,892.94x = 8,772,174.18
  5. Step 5: Solve for x
    x = 8,772,174.18/4,892.94
  6. Step 6: Final answer
    x = 1,792.82

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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.