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Finding the Fourth Proportional to 6,722.34, 9,275.81 and 3,738.20

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Solution

The fourth proportional to 6,722.34, 9,275.81 and 3,738.20 is: 5,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.34 : 9,275.81 = 3,738.20 : x
  2. Step 2: Convert to fraction form
    6,722.34/9,275.81 = 3,738.20/x
  3. Step 3: Cross multiply
    6,722.34x = 9,275.81 × 3,738.20
  4. Step 4: Simplify right side
    6,722.34x = 34,674,832.94
  5. Step 5: Solve for x
    x = 34,674,832.94/6,722.34
  6. Step 6: Final answer
    x = 5,158.15

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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.