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Finding the Fourth Proportional to 7,902.70, 11,853.02 and 2,059.76

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Solution

The fourth proportional to 7,902.70, 11,853.02 and 2,059.76 is: 3,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.70 : 11,853.02 = 2,059.76 : x
  2. Step 2: Convert to fraction form
    7,902.70/11,853.02 = 2,059.76/x
  3. Step 3: Cross multiply
    7,902.70x = 11,853.02 × 2,059.76
  4. Step 4: Simplify right side
    7,902.70x = 24,414,376.48
  5. Step 5: Solve for x
    x = 24,414,376.48/7,902.70
  6. Step 6: Final answer
    x = 3,089.37

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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.