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Finding the Fourth Proportional to 4,196, 6,294 and 1,274.24

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Solution

The fourth proportional to 4,196, 6,294 and 1,274.24 is: 1,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196 : 6,294 = 1,274.24 : x
  2. Step 2: Convert to fraction form
    4,196/6,294 = 1,274.24/x
  3. Step 3: Cross multiply
    4,196x = 6,294 × 1,274.24
  4. Step 4: Simplify right side
    4,196x = 8,020,066.56
  5. Step 5: Solve for x
    x = 8,020,066.56/4,196
  6. Step 6: Final answer
    x = 1,911.36

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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.