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Finding the Fourth Proportional to 6,013.60, 9,020.40 and 3,089.50

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Solution

The fourth proportional to 6,013.60, 9,020.40 and 3,089.50 is: 4,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.60 : 9,020.40 = 3,089.50 : x
  2. Step 2: Convert to fraction form
    6,013.60/9,020.40 = 3,089.50/x
  3. Step 3: Cross multiply
    6,013.60x = 9,020.40 × 3,089.50
  4. Step 4: Simplify right side
    6,013.60x = 27,868,525.80
  5. Step 5: Solve for x
    x = 27,868,525.80/6,013.60
  6. Step 6: Final answer
    x = 4,634.25

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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.