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Finding the Fourth Proportional to 6,156.79, 9,220.43 and 4,486.43

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Solution

The fourth proportional to 6,156.79, 9,220.43 and 4,486.43 is: 6,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.79 : 9,220.43 = 4,486.43 : x
  2. Step 2: Convert to fraction form
    6,156.79/9,220.43 = 4,486.43/x
  3. Step 3: Cross multiply
    6,156.79x = 9,220.43 × 4,486.43
  4. Step 4: Simplify right side
    6,156.79x = 41,366,848.03
  5. Step 5: Solve for x
    x = 41,366,848.03/6,156.79
  6. Step 6: Final answer
    x = 6,718.90

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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.