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Finding the Fourth Proportional to 6,698, 10,047.35 and 1,767.69

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Solution

The fourth proportional to 6,698, 10,047.35 and 1,767.69 is: 2,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698 : 10,047.35 = 1,767.69 : x
  2. Step 2: Convert to fraction form
    6,698/10,047.35 = 1,767.69/x
  3. Step 3: Cross multiply
    6,698x = 10,047.35 × 1,767.69
  4. Step 4: Simplify right side
    6,698x = 17,760,600.12
  5. Step 5: Solve for x
    x = 17,760,600.12/6,698
  6. Step 6: Final answer
    x = 2,651.63

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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.