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Finding the Fourth Proportional to 6,767.40, 10,152.70 and 2,150.40

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Solution

The fourth proportional to 6,767.40, 10,152.70 and 2,150.40 is: 3,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.40 : 10,152.70 = 2,150.40 : x
  2. Step 2: Convert to fraction form
    6,767.40/10,152.70 = 2,150.40/x
  3. Step 3: Cross multiply
    6,767.40x = 10,152.70 × 2,150.40
  4. Step 4: Simplify right side
    6,767.40x = 21,832,366.08
  5. Step 5: Solve for x
    x = 21,832,366.08/6,767.40
  6. Step 6: Final answer
    x = 3,226.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.