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Finding the Fourth Proportional to 6,933.22, 9,570.45 and 4,706.62

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Solution

The fourth proportional to 6,933.22, 9,570.45 and 4,706.62 is: 6,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.22 : 9,570.45 = 4,706.62 : x
  2. Step 2: Convert to fraction form
    6,933.22/9,570.45 = 4,706.62/x
  3. Step 3: Cross multiply
    6,933.22x = 9,570.45 × 4,706.62
  4. Step 4: Simplify right side
    6,933.22x = 45,044,471.38
  5. Step 5: Solve for x
    x = 45,044,471.38/6,933.22
  6. Step 6: Final answer
    x = 6,496.90

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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.