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Finding the Fourth Proportional to 6,602, 9,115.62 and 4,502.48

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Solution

The fourth proportional to 6,602, 9,115.62 and 4,502.48 is: 6,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602 : 9,115.62 = 4,502.48 : x
  2. Step 2: Convert to fraction form
    6,602/9,115.62 = 4,502.48/x
  3. Step 3: Cross multiply
    6,602x = 9,115.62 × 4,502.48
  4. Step 4: Simplify right side
    6,602x = 41,042,896.74
  5. Step 5: Solve for x
    x = 41,042,896.74/6,602
  6. Step 6: Final answer
    x = 6,216.74

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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.