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Finding the Fourth Proportional to 6,912, 9,538.56 and 4,428.16

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Solution

The fourth proportional to 6,912, 9,538.56 and 4,428.16 is: 6,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912 : 9,538.56 = 4,428.16 : x
  2. Step 2: Convert to fraction form
    6,912/9,538.56 = 4,428.16/x
  3. Step 3: Cross multiply
    6,912x = 9,538.56 × 4,428.16
  4. Step 4: Simplify right side
    6,912x = 42,238,269.85
  5. Step 5: Solve for x
    x = 42,238,269.85/6,912
  6. Step 6: Final answer
    x = 6,110.86

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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.