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Finding the Fourth Proportional to 7,841.70, 11,760.17 and 4,141.98

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Solution

The fourth proportional to 7,841.70, 11,760.17 and 4,141.98 is: 6,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.70 : 11,760.17 = 4,141.98 : x
  2. Step 2: Convert to fraction form
    7,841.70/11,760.17 = 4,141.98/x
  3. Step 3: Cross multiply
    7,841.70x = 11,760.17 × 4,141.98
  4. Step 4: Simplify right side
    7,841.70x = 48,710,368.23
  5. Step 5: Solve for x
    x = 48,710,368.23/7,841.70
  6. Step 6: Final answer
    x = 6,211.71

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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.