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Finding the Fourth Proportional to 6,417, 8,855.54 and 3,622.52

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Solution

The fourth proportional to 6,417, 8,855.54 and 3,622.52 is: 4,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417 : 8,855.54 = 3,622.52 : x
  2. Step 2: Convert to fraction form
    6,417/8,855.54 = 3,622.52/x
  3. Step 3: Cross multiply
    6,417x = 8,855.54 × 3,622.52
  4. Step 4: Simplify right side
    6,417x = 32,079,370.76
  5. Step 5: Solve for x
    x = 32,079,370.76/6,417
  6. Step 6: Final answer
    x = 4,999.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.