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Finding the Fourth Proportional to 6,893.12, 10,339.70 and 1,698.99

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Solution

The fourth proportional to 6,893.12, 10,339.70 and 1,698.99 is: 2,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.12 : 10,339.70 = 1,698.99 : x
  2. Step 2: Convert to fraction form
    6,893.12/10,339.70 = 1,698.99/x
  3. Step 3: Cross multiply
    6,893.12x = 10,339.70 × 1,698.99
  4. Step 4: Simplify right side
    6,893.12x = 17,567,038.41
  5. Step 5: Solve for x
    x = 17,567,038.41/6,893.12
  6. Step 6: Final answer
    x = 2,548.49

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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.