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Finding the Fourth Proportional to 6,654, 9,166.62 and 4,660.80

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Solution

The fourth proportional to 6,654, 9,166.62 and 4,660.80 is: 6,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654 : 9,166.62 = 4,660.80 : x
  2. Step 2: Convert to fraction form
    6,654/9,166.62 = 4,660.80/x
  3. Step 3: Cross multiply
    6,654x = 9,166.62 × 4,660.80
  4. Step 4: Simplify right side
    6,654x = 42,723,782.50
  5. Step 5: Solve for x
    x = 42,723,782.50/6,654
  6. Step 6: Final answer
    x = 6,420.77

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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.