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Finding the Fourth Proportional to 7,294, 10,941 and 1,822

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Solution

The fourth proportional to 7,294, 10,941 and 1,822 is: 2,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294 : 10,941 = 1,822 : x
  2. Step 2: Convert to fraction form
    7,294/10,941 = 1,822/x
  3. Step 3: Cross multiply
    7,294x = 10,941 × 1,822
  4. Step 4: Simplify right side
    7,294x = 19,934,502
  5. Step 5: Solve for x
    x = 19,934,502/7,294
  6. Step 6: Final answer
    x = 2,733

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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.