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Finding the Fourth Proportional to 7,096.76, 10,644.94 and 1,902.64

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Solution

The fourth proportional to 7,096.76, 10,644.94 and 1,902.64 is: 2,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.76 : 10,644.94 = 1,902.64 : x
  2. Step 2: Convert to fraction form
    7,096.76/10,644.94 = 1,902.64/x
  3. Step 3: Cross multiply
    7,096.76x = 10,644.94 × 1,902.64
  4. Step 4: Simplify right side
    7,096.76x = 20,253,488.64
  5. Step 5: Solve for x
    x = 20,253,488.64/7,096.76
  6. Step 6: Final answer
    x = 2,853.91

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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.