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Finding the Fourth Proportional to 6,535.52, 9,804.90 and 1,918.52

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Solution

The fourth proportional to 6,535.52, 9,804.90 and 1,918.52 is: 2,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.52 : 9,804.90 = 1,918.52 : x
  2. Step 2: Convert to fraction form
    6,535.52/9,804.90 = 1,918.52/x
  3. Step 3: Cross multiply
    6,535.52x = 9,804.90 × 1,918.52
  4. Step 4: Simplify right side
    6,535.52x = 18,810,896.75
  5. Step 5: Solve for x
    x = 18,810,896.75/6,535.52
  6. Step 6: Final answer
    x = 2,878.26

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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.