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Finding the Fourth Proportional to 6,672, 9,207.36 and 3,687.84

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Solution

The fourth proportional to 6,672, 9,207.36 and 3,687.84 is: 5,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672 : 9,207.36 = 3,687.84 : x
  2. Step 2: Convert to fraction form
    6,672/9,207.36 = 3,687.84/x
  3. Step 3: Cross multiply
    6,672x = 9,207.36 × 3,687.84
  4. Step 4: Simplify right side
    6,672x = 33,955,270.50
  5. Step 5: Solve for x
    x = 33,955,270.50/6,672
  6. Step 6: Final answer
    x = 5,089.22

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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.