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Finding the Fourth Proportional to 6,706.65, 10,056.72 and 2,025.78

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Solution

The fourth proportional to 6,706.65, 10,056.72 and 2,025.78 is: 3,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.65 : 10,056.72 = 2,025.78 : x
  2. Step 2: Convert to fraction form
    6,706.65/10,056.72 = 2,025.78/x
  3. Step 3: Cross multiply
    6,706.65x = 10,056.72 × 2,025.78
  4. Step 4: Simplify right side
    6,706.65x = 20,372,702.24
  5. Step 5: Solve for x
    x = 20,372,702.24/6,706.65
  6. Step 6: Final answer
    x = 3,037.69

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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.