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Finding the Fourth Proportional to 6,671.64, 10,009.78 and 2,976.44

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Solution

The fourth proportional to 6,671.64, 10,009.78 and 2,976.44 is: 4,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.64 : 10,009.78 = 2,976.44 : x
  2. Step 2: Convert to fraction form
    6,671.64/10,009.78 = 2,976.44/x
  3. Step 3: Cross multiply
    6,671.64x = 10,009.78 × 2,976.44
  4. Step 4: Simplify right side
    6,671.64x = 29,793,509.58
  5. Step 5: Solve for x
    x = 29,793,509.58/6,671.64
  6. Step 6: Final answer
    x = 4,465.70

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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.