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Finding the Fourth Proportional to 22,698, 34,047 and 6,282

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Solution

The fourth proportional to 22,698, 34,047 and 6,282 is: 9,423

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698 : 34,047 = 6,282 : x
  2. Step 2: Convert to fraction form
    22,698/34,047 = 6,282/x
  3. Step 3: Cross multiply
    22,698x = 34,047 × 6,282
  4. Step 4: Simplify right side
    22,698x = 213,883,254
  5. Step 5: Solve for x
    x = 213,883,254/22,698
  6. Step 6: Final answer
    x = 9,423

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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.