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Finding the Fourth Proportional to 22,730, 34,095 and 6,314

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Solution

The fourth proportional to 22,730, 34,095 and 6,314 is: 9,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730 : 34,095 = 6,314 : x
  2. Step 2: Convert to fraction form
    22,730/34,095 = 6,314/x
  3. Step 3: Cross multiply
    22,730x = 34,095 × 6,314
  4. Step 4: Simplify right side
    22,730x = 215,275,830
  5. Step 5: Solve for x
    x = 215,275,830/22,730
  6. Step 6: Final answer
    x = 9,471

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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.