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Finding the Fourth Proportional to 7,706.41, 10,634.86 and 4,349.09

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Solution

The fourth proportional to 7,706.41, 10,634.86 and 4,349.09 is: 6,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.41 : 10,634.86 = 4,349.09 : x
  2. Step 2: Convert to fraction form
    7,706.41/10,634.86 = 4,349.09/x
  3. Step 3: Cross multiply
    7,706.41x = 10,634.86 × 4,349.09
  4. Step 4: Simplify right side
    7,706.41x = 46,251,995.30
  5. Step 5: Solve for x
    x = 46,251,995.30/7,706.41
  6. Step 6: Final answer
    x = 6,001.76

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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.