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Finding the Fourth Proportional to 6,336.68, 9,502.02 and 1,892.70

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Solution

The fourth proportional to 6,336.68, 9,502.02 and 1,892.70 is: 2,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.68 : 9,502.02 = 1,892.70 : x
  2. Step 2: Convert to fraction form
    6,336.68/9,502.02 = 1,892.70/x
  3. Step 3: Cross multiply
    6,336.68x = 9,502.02 × 1,892.70
  4. Step 4: Simplify right side
    6,336.68x = 17,984,473.25
  5. Step 5: Solve for x
    x = 17,984,473.25/6,336.68
  6. Step 6: Final answer
    x = 2,838.16

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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.