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Finding the Fourth Proportional to 10,770, 16,161.48 and 4,614

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Solution

The fourth proportional to 10,770, 16,161.48 and 4,614 is: 6,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770 : 16,161.48 = 4,614 : x
  2. Step 2: Convert to fraction form
    10,770/16,161.48 = 4,614/x
  3. Step 3: Cross multiply
    10,770x = 16,161.48 × 4,614
  4. Step 4: Simplify right side
    10,770x = 74,569,068.72
  5. Step 5: Solve for x
    x = 74,569,068.72/10,770
  6. Step 6: Final answer
    x = 6,923.78

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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.