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Finding the Fourth Proportional to 6,077.54, 9,116.82 and 1,695

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Solution

The fourth proportional to 6,077.54, 9,116.82 and 1,695 is: 2,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.54 : 9,116.82 = 1,695 : x
  2. Step 2: Convert to fraction form
    6,077.54/9,116.82 = 1,695/x
  3. Step 3: Cross multiply
    6,077.54x = 9,116.82 × 1,695
  4. Step 4: Simplify right side
    6,077.54x = 15,453,009.90
  5. Step 5: Solve for x
    x = 15,453,009.90/6,077.54
  6. Step 6: Final answer
    x = 2,542.64

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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.