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Finding the Fourth Proportional to 6,600.66, 9,902.64 and 4,656.66

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Solution

The fourth proportional to 6,600.66, 9,902.64 and 4,656.66 is: 6,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.66 : 9,902.64 = 4,656.66 : x
  2. Step 2: Convert to fraction form
    6,600.66/9,902.64 = 4,656.66/x
  3. Step 3: Cross multiply
    6,600.66x = 9,902.64 × 4,656.66
  4. Step 4: Simplify right side
    6,600.66x = 46,113,227.58
  5. Step 5: Solve for x
    x = 46,113,227.58/6,600.66
  6. Step 6: Final answer
    x = 6,986.15

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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.