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Finding the Fourth Proportional to 7,644.69, 11,414.70 and 6,848.91

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Solution

The fourth proportional to 7,644.69, 11,414.70 and 6,848.91 is: 10,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.69 : 11,414.70 = 6,848.91 : x
  2. Step 2: Convert to fraction form
    7,644.69/11,414.70 = 6,848.91/x
  3. Step 3: Cross multiply
    7,644.69x = 11,414.70 × 6,848.91
  4. Step 4: Simplify right side
    7,644.69x = 78,178,252.98
  5. Step 5: Solve for x
    x = 78,178,252.98/7,644.69
  6. Step 6: Final answer
    x = 10,226.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.