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Finding the Fourth Proportional to 6,714.66, 10,089 and 4,250.64

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Solution

The fourth proportional to 6,714.66, 10,089 and 4,250.64 is: 6,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.66 : 10,089 = 4,250.64 : x
  2. Step 2: Convert to fraction form
    6,714.66/10,089 = 4,250.64/x
  3. Step 3: Cross multiply
    6,714.66x = 10,089 × 4,250.64
  4. Step 4: Simplify right side
    6,714.66x = 42,884,706.96
  5. Step 5: Solve for x
    x = 42,884,706.96/6,714.66
  6. Step 6: Final answer
    x = 6,386.73

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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.