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Finding the Fourth Proportional to 5,937, 8,192.97 and 4,238.64

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Solution

The fourth proportional to 5,937, 8,192.97 and 4,238.64 is: 5,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937 : 8,192.97 = 4,238.64 : x
  2. Step 2: Convert to fraction form
    5,937/8,192.97 = 4,238.64/x
  3. Step 3: Cross multiply
    5,937x = 8,192.97 × 4,238.64
  4. Step 4: Simplify right side
    5,937x = 34,727,050.36
  5. Step 5: Solve for x
    x = 34,727,050.36/5,937
  6. Step 6: Final answer
    x = 5,849.26

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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.