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Finding the Fourth Proportional to 6,300.36, 9,450.54 and 3,987

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Solution

The fourth proportional to 6,300.36, 9,450.54 and 3,987 is: 5,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.36 : 9,450.54 = 3,987 : x
  2. Step 2: Convert to fraction form
    6,300.36/9,450.54 = 3,987/x
  3. Step 3: Cross multiply
    6,300.36x = 9,450.54 × 3,987
  4. Step 4: Simplify right side
    6,300.36x = 37,679,302.98
  5. Step 5: Solve for x
    x = 37,679,302.98/6,300.36
  6. Step 6: Final answer
    x = 5,980.50

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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.