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Finding the Fourth Proportional to 6,019.50, 9,032.94 and 2,556.75

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Solution

The fourth proportional to 6,019.50, 9,032.94 and 2,556.75 is: 3,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.50 : 9,032.94 = 2,556.75 : x
  2. Step 2: Convert to fraction form
    6,019.50/9,032.94 = 2,556.75/x
  3. Step 3: Cross multiply
    6,019.50x = 9,032.94 × 2,556.75
  4. Step 4: Simplify right side
    6,019.50x = 23,094,969.35
  5. Step 5: Solve for x
    x = 23,094,969.35/6,019.50
  6. Step 6: Final answer
    x = 3,836.69

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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.