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Finding the Fourth Proportional to 6,706.36, 10,060.32 and 2,549.50

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Solution

The fourth proportional to 6,706.36, 10,060.32 and 2,549.50 is: 3,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.36 : 10,060.32 = 2,549.50 : x
  2. Step 2: Convert to fraction form
    6,706.36/10,060.32 = 2,549.50/x
  3. Step 3: Cross multiply
    6,706.36x = 10,060.32 × 2,549.50
  4. Step 4: Simplify right side
    6,706.36x = 25,648,785.84
  5. Step 5: Solve for x
    x = 25,648,785.84/6,706.36
  6. Step 6: Final answer
    x = 3,824.55

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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.