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Finding the Fourth Proportional to 6,588.89, 9,884.99 and 4,644.89

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Solution

The fourth proportional to 6,588.89, 9,884.99 and 4,644.89 is: 6,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.89 : 9,884.99 = 4,644.89 : x
  2. Step 2: Convert to fraction form
    6,588.89/9,884.99 = 4,644.89/x
  3. Step 3: Cross multiply
    6,588.89x = 9,884.99 × 4,644.89
  4. Step 4: Simplify right side
    6,588.89x = 45,914,691.20
  5. Step 5: Solve for x
    x = 45,914,691.20/6,588.89
  6. Step 6: Final answer
    x = 6,968.50

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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.