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Finding the Fourth Proportional to 7,475.99, 10,305.59 and 6,147.38

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Solution

The fourth proportional to 7,475.99, 10,305.59 and 6,147.38 is: 8,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.99 : 10,305.59 = 6,147.38 : x
  2. Step 2: Convert to fraction form
    7,475.99/10,305.59 = 6,147.38/x
  3. Step 3: Cross multiply
    7,475.99x = 10,305.59 × 6,147.38
  4. Step 4: Simplify right side
    7,475.99x = 63,352,372.88
  5. Step 5: Solve for x
    x = 63,352,372.88/7,475.99
  6. Step 6: Final answer
    x = 8,474.12

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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.