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Finding the Fourth Proportional to 4,278, 6,417 and 1,542

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Solution

The fourth proportional to 4,278, 6,417 and 1,542 is: 2,313

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278 : 6,417 = 1,542 : x
  2. Step 2: Convert to fraction form
    4,278/6,417 = 1,542/x
  3. Step 3: Cross multiply
    4,278x = 6,417 × 1,542
  4. Step 4: Simplify right side
    4,278x = 9,895,014
  5. Step 5: Solve for x
    x = 9,895,014/4,278
  6. Step 6: Final answer
    x = 2,313

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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.