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Finding the Fourth Proportional to 6,944.42, 10,423.94 and 6,787.70

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Solution

The fourth proportional to 6,944.42, 10,423.94 and 6,787.70 is: 10,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.42 : 10,423.94 = 6,787.70 : x
  2. Step 2: Convert to fraction form
    6,944.42/10,423.94 = 6,787.70/x
  3. Step 3: Cross multiply
    6,944.42x = 10,423.94 × 6,787.70
  4. Step 4: Simplify right side
    6,944.42x = 70,754,542.39
  5. Step 5: Solve for x
    x = 70,754,542.39/6,944.42
  6. Step 6: Final answer
    x = 10,188.70

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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.