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Finding the Fourth Proportional to 22,492, 33,738 and 6,909.63

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Solution

The fourth proportional to 22,492, 33,738 and 6,909.63 is: 10,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492 : 33,738 = 6,909.63 : x
  2. Step 2: Convert to fraction form
    22,492/33,738 = 6,909.63/x
  3. Step 3: Cross multiply
    22,492x = 33,738 × 6,909.63
  4. Step 4: Simplify right side
    22,492x = 233,117,096.94
  5. Step 5: Solve for x
    x = 233,117,096.94/22,492
  6. Step 6: Final answer
    x = 10,364.45

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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.