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Finding the Fourth Proportional to 6,646.89, 9,173.85 and 4,521

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Solution

The fourth proportional to 6,646.89, 9,173.85 and 4,521 is: 6,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.89 : 9,173.85 = 4,521 : x
  2. Step 2: Convert to fraction form
    6,646.89/9,173.85 = 4,521/x
  3. Step 3: Cross multiply
    6,646.89x = 9,173.85 × 4,521
  4. Step 4: Simplify right side
    6,646.89x = 41,474,975.85
  5. Step 5: Solve for x
    x = 41,474,975.85/6,646.89
  6. Step 6: Final answer
    x = 6,239.76

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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.