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Finding the Fourth Proportional to 6,732.05, 9,290.78 and 3,748.16

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Solution

The fourth proportional to 6,732.05, 9,290.78 and 3,748.16 is: 5,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.05 : 9,290.78 = 3,748.16 : x
  2. Step 2: Convert to fraction form
    6,732.05/9,290.78 = 3,748.16/x
  3. Step 3: Cross multiply
    6,732.05x = 9,290.78 × 3,748.16
  4. Step 4: Simplify right side
    6,732.05x = 34,823,334.45
  5. Step 5: Solve for x
    x = 34,823,334.45/6,732.05
  6. Step 6: Final answer
    x = 5,172.77

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1.5x scale

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.