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Finding the Fourth Proportional to 12,152.38, 16,770.28 and 6,563.38

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Solution

The fourth proportional to 12,152.38, 16,770.28 and 6,563.38 is: 9,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.38 : 16,770.28 = 6,563.38 : x
  2. Step 2: Convert to fraction form
    12,152.38/16,770.28 = 6,563.38/x
  3. Step 3: Cross multiply
    12,152.38x = 16,770.28 × 6,563.38
  4. Step 4: Simplify right side
    12,152.38x = 110,069,720.35
  5. Step 5: Solve for x
    x = 110,069,720.35/12,152.38
  6. Step 6: Final answer
    x = 9,057.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.