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Finding the Fourth Proportional to 6,707.43, 9,256.46 and 3,682.69

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Solution

The fourth proportional to 6,707.43, 9,256.46 and 3,682.69 is: 5,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.43 : 9,256.46 = 3,682.69 : x
  2. Step 2: Convert to fraction form
    6,707.43/9,256.46 = 3,682.69/x
  3. Step 3: Cross multiply
    6,707.43x = 9,256.46 × 3,682.69
  4. Step 4: Simplify right side
    6,707.43x = 34,088,631.12
  5. Step 5: Solve for x
    x = 34,088,631.12/6,707.43
  6. Step 6: Final answer
    x = 5,082.22

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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.