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Finding the Fourth Proportional to 7,940.70, 10,951.01 and 4,956.82

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Solution

The fourth proportional to 7,940.70, 10,951.01 and 4,956.82 is: 6,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.70 : 10,951.01 = 4,956.82 : x
  2. Step 2: Convert to fraction form
    7,940.70/10,951.01 = 4,956.82/x
  3. Step 3: Cross multiply
    7,940.70x = 10,951.01 × 4,956.82
  4. Step 4: Simplify right side
    7,940.70x = 54,282,151.81
  5. Step 5: Solve for x
    x = 54,282,151.81/7,940.70
  6. Step 6: Final answer
    x = 6,835.94

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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.