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Finding the Fourth Proportional to 6,502.99, 8,974.09 and 3,670.40

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Solution

The fourth proportional to 6,502.99, 8,974.09 and 3,670.40 is: 5,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.99 : 8,974.09 = 3,670.40 : x
  2. Step 2: Convert to fraction form
    6,502.99/8,974.09 = 3,670.40/x
  3. Step 3: Cross multiply
    6,502.99x = 8,974.09 × 3,670.40
  4. Step 4: Simplify right side
    6,502.99x = 32,938,481.58
  5. Step 5: Solve for x
    x = 32,938,481.58/6,502.99
  6. Step 6: Final answer
    x = 5,065.13

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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.