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Finding the Fourth Proportional to 6,024.45, 9,047 and 3,698.11

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Solution

The fourth proportional to 6,024.45, 9,047 and 3,698.11 is: 5,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.45 : 9,047 = 3,698.11 : x
  2. Step 2: Convert to fraction form
    6,024.45/9,047 = 3,698.11/x
  3. Step 3: Cross multiply
    6,024.45x = 9,047 × 3,698.11
  4. Step 4: Simplify right side
    6,024.45x = 33,456,801.17
  5. Step 5: Solve for x
    x = 33,456,801.17/6,024.45
  6. Step 6: Final answer
    x = 5,553.50

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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.