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Finding the Fourth Proportional to 22,286, 33,429 and 6,703.64

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Solution

The fourth proportional to 22,286, 33,429 and 6,703.64 is: 10,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286 : 33,429 = 6,703.64 : x
  2. Step 2: Convert to fraction form
    22,286/33,429 = 6,703.64/x
  3. Step 3: Cross multiply
    22,286x = 33,429 × 6,703.64
  4. Step 4: Simplify right side
    22,286x = 224,095,981.56
  5. Step 5: Solve for x
    x = 224,095,981.56/22,286
  6. Step 6: Final answer
    x = 10,055.46

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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.