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Finding the Fourth Proportional to 6,338.70, 9,510.06 and 3,052.02

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Solution

The fourth proportional to 6,338.70, 9,510.06 and 3,052.02 is: 4,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.70 : 9,510.06 = 3,052.02 : x
  2. Step 2: Convert to fraction form
    6,338.70/9,510.06 = 3,052.02/x
  3. Step 3: Cross multiply
    6,338.70x = 9,510.06 × 3,052.02
  4. Step 4: Simplify right side
    6,338.70x = 29,024,893.32
  5. Step 5: Solve for x
    x = 29,024,893.32/6,338.70
  6. Step 6: Final answer
    x = 4,579.00

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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.