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Finding the Fourth Proportional to 5,522, 8,283 and 1,418

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Solution

The fourth proportional to 5,522, 8,283 and 1,418 is: 2,127

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522 : 8,283 = 1,418 : x
  2. Step 2: Convert to fraction form
    5,522/8,283 = 1,418/x
  3. Step 3: Cross multiply
    5,522x = 8,283 × 1,418
  4. Step 4: Simplify right side
    5,522x = 11,745,294
  5. Step 5: Solve for x
    x = 11,745,294/5,522
  6. Step 6: Final answer
    x = 2,127

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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.