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Finding the Fourth Proportional to 10,350, 14,283 and 5,634

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Solution

The fourth proportional to 10,350, 14,283 and 5,634 is: 7,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350 : 14,283 = 5,634 : x
  2. Step 2: Convert to fraction form
    10,350/14,283 = 5,634/x
  3. Step 3: Cross multiply
    10,350x = 14,283 × 5,634
  4. Step 4: Simplify right side
    10,350x = 80,470,422
  5. Step 5: Solve for x
    x = 80,470,422/10,350
  6. Step 6: Final answer
    x = 7,774.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.