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Finding the Fourth Proportional to 38,466, 57,699 and 9,282

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Solution

The fourth proportional to 38,466, 57,699 and 9,282 is: 13,923

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466 : 57,699 = 9,282 : x
  2. Step 2: Convert to fraction form
    38,466/57,699 = 9,282/x
  3. Step 3: Cross multiply
    38,466x = 57,699 × 9,282
  4. Step 4: Simplify right side
    38,466x = 535,562,118
  5. Step 5: Solve for x
    x = 535,562,118/38,466
  6. Step 6: Final answer
    x = 13,923

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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.