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Finding the Fourth Proportional to 6,975.99, 9,626.86 and 3,832.18

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Solution

The fourth proportional to 6,975.99, 9,626.86 and 3,832.18 is: 5,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.99 : 9,626.86 = 3,832.18 : x
  2. Step 2: Convert to fraction form
    6,975.99/9,626.86 = 3,832.18/x
  3. Step 3: Cross multiply
    6,975.99x = 9,626.86 × 3,832.18
  4. Step 4: Simplify right side
    6,975.99x = 36,891,826.71
  5. Step 5: Solve for x
    x = 36,891,826.71/6,975.99
  6. Step 6: Final answer
    x = 5,288.40

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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.