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Finding the Fourth Proportional to 6,641.50, 9,962.26 and 2,024.50

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Solution

The fourth proportional to 6,641.50, 9,962.26 and 2,024.50 is: 3,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.50 : 9,962.26 = 2,024.50 : x
  2. Step 2: Convert to fraction form
    6,641.50/9,962.26 = 2,024.50/x
  3. Step 3: Cross multiply
    6,641.50x = 9,962.26 × 2,024.50
  4. Step 4: Simplify right side
    6,641.50x = 20,168,595.37
  5. Step 5: Solve for x
    x = 20,168,595.37/6,641.50
  6. Step 6: Final answer
    x = 3,036.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.