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Finding the Fourth Proportional to 6,641.86, 9,970.35 and 3,358.66

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Solution

The fourth proportional to 6,641.86, 9,970.35 and 3,358.66 is: 5,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.86 : 9,970.35 = 3,358.66 : x
  2. Step 2: Convert to fraction form
    6,641.86/9,970.35 = 3,358.66/x
  3. Step 3: Cross multiply
    6,641.86x = 9,970.35 × 3,358.66
  4. Step 4: Simplify right side
    6,641.86x = 33,487,015.73
  5. Step 5: Solve for x
    x = 33,487,015.73/6,641.86
  6. Step 6: Final answer
    x = 5,041.81

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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.