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Finding the Fourth Proportional to 6,011.75, 9,017.76 and 2,063.00

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Solution

The fourth proportional to 6,011.75, 9,017.76 and 2,063.00 is: 3,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.75 : 9,017.76 = 2,063.00 : x
  2. Step 2: Convert to fraction form
    6,011.75/9,017.76 = 2,063.00/x
  3. Step 3: Cross multiply
    6,011.75x = 9,017.76 × 2,063.00
  4. Step 4: Simplify right side
    6,011.75x = 18,603,593.79
  5. Step 5: Solve for x
    x = 18,603,593.79/6,011.75
  6. Step 6: Final answer
    x = 3,094.54

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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.