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Finding the Fourth Proportional to 6,417.40, 9,622.70 and 2,033.72

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Solution

The fourth proportional to 6,417.40, 9,622.70 and 2,033.72 is: 3,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.40 : 9,622.70 = 2,033.72 : x
  2. Step 2: Convert to fraction form
    6,417.40/9,622.70 = 2,033.72/x
  3. Step 3: Cross multiply
    6,417.40x = 9,622.70 × 2,033.72
  4. Step 4: Simplify right side
    6,417.40x = 19,569,877.44
  5. Step 5: Solve for x
    x = 19,569,877.44/6,417.40
  6. Step 6: Final answer
    x = 3,049.50

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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.