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Finding the Fourth Proportional to 6,732.96, 9,291.15 and 3,749.10

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Solution

The fourth proportional to 6,732.96, 9,291.15 and 3,749.10 is: 5,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.96 : 9,291.15 = 3,749.10 : x
  2. Step 2: Convert to fraction form
    6,732.96/9,291.15 = 3,749.10/x
  3. Step 3: Cross multiply
    6,732.96x = 9,291.15 × 3,749.10
  4. Step 4: Simplify right side
    6,732.96x = 34,833,450.47
  5. Step 5: Solve for x
    x = 34,833,450.47/6,732.96
  6. Step 6: Final answer
    x = 5,173.57

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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.