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Finding the Fourth Proportional to 6,014.70, 9,019.99 and 3,052.00

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Solution

The fourth proportional to 6,014.70, 9,019.99 and 3,052.00 is: 4,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.70 : 9,019.99 = 3,052.00 : x
  2. Step 2: Convert to fraction form
    6,014.70/9,019.99 = 3,052.00/x
  3. Step 3: Cross multiply
    6,014.70x = 9,019.99 × 3,052.00
  4. Step 4: Simplify right side
    6,014.70x = 27,528,999.20
  5. Step 5: Solve for x
    x = 27,528,999.20/6,014.70
  6. Step 6: Final answer
    x = 4,576.96

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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.