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Finding the Fourth Proportional to 10,675.38, 14,732.22 and 6,197.50

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Solution

The fourth proportional to 10,675.38, 14,732.22 and 6,197.50 is: 8,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.38 : 14,732.22 = 6,197.50 : x
  2. Step 2: Convert to fraction form
    10,675.38/14,732.22 = 6,197.50/x
  3. Step 3: Cross multiply
    10,675.38x = 14,732.22 × 6,197.50
  4. Step 4: Simplify right side
    10,675.38x = 91,302,933.45
  5. Step 5: Solve for x
    x = 91,302,933.45/10,675.38
  6. Step 6: Final answer
    x = 8,552.66

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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.