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Finding the Fourth Proportional to 6,602, 9,110.76 and 3,658

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Solution

The fourth proportional to 6,602, 9,110.76 and 3,658 is: 5,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602 : 9,110.76 = 3,658 : x
  2. Step 2: Convert to fraction form
    6,602/9,110.76 = 3,658/x
  3. Step 3: Cross multiply
    6,602x = 9,110.76 × 3,658
  4. Step 4: Simplify right side
    6,602x = 33,327,160.08
  5. Step 5: Solve for x
    x = 33,327,160.08/6,602
  6. Step 6: Final answer
    x = 5,048.04

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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.