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Finding the Fourth Proportional to 22,358, 33,537 and 6,776.84

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Solution

The fourth proportional to 22,358, 33,537 and 6,776.84 is: 10,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358 : 33,537 = 6,776.84 : x
  2. Step 2: Convert to fraction form
    22,358/33,537 = 6,776.84/x
  3. Step 3: Cross multiply
    22,358x = 33,537 × 6,776.84
  4. Step 4: Simplify right side
    22,358x = 227,274,883.08
  5. Step 5: Solve for x
    x = 227,274,883.08/22,358
  6. Step 6: Final answer
    x = 10,165.26

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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.