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Finding the Fourth Proportional to 6,698, 9,244.06 and 3,903.50

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Solution

The fourth proportional to 6,698, 9,244.06 and 3,903.50 is: 5,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698 : 9,244.06 = 3,903.50 : x
  2. Step 2: Convert to fraction form
    6,698/9,244.06 = 3,903.50/x
  3. Step 3: Cross multiply
    6,698x = 9,244.06 × 3,903.50
  4. Step 4: Simplify right side
    6,698x = 36,084,188.21
  5. Step 5: Solve for x
    x = 36,084,188.21/6,698
  6. Step 6: Final answer
    x = 5,387.31

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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.