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Finding the Fourth Proportional to 6,698.45, 9,244.38 and 3,714.87

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Solution

The fourth proportional to 6,698.45, 9,244.38 and 3,714.87 is: 5,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.45 : 9,244.38 = 3,714.87 : x
  2. Step 2: Convert to fraction form
    6,698.45/9,244.38 = 3,714.87/x
  3. Step 3: Cross multiply
    6,698.45x = 9,244.38 × 3,714.87
  4. Step 4: Simplify right side
    6,698.45x = 34,341,623.71
  5. Step 5: Solve for x
    x = 34,341,623.71/6,698.45
  6. Step 6: Final answer
    x = 5,126.80

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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.