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Finding the Fourth Proportional to 6,935.48, 9,583.14 and 6,049.74

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Solution

The fourth proportional to 6,935.48, 9,583.14 and 6,049.74 is: 8,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.48 : 9,583.14 = 6,049.74 : x
  2. Step 2: Convert to fraction form
    6,935.48/9,583.14 = 6,049.74/x
  3. Step 3: Cross multiply
    6,935.48x = 9,583.14 × 6,049.74
  4. Step 4: Simplify right side
    6,935.48x = 57,975,505.38
  5. Step 5: Solve for x
    x = 57,975,505.38/6,935.48
  6. Step 6: Final answer
    x = 8,359.27

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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.