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Finding the Fourth Proportional to 6,470.64, 9,698.46 and 2,767.32

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Solution

The fourth proportional to 6,470.64, 9,698.46 and 2,767.32 is: 4,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.64 : 9,698.46 = 2,767.32 : x
  2. Step 2: Convert to fraction form
    6,470.64/9,698.46 = 2,767.32/x
  3. Step 3: Cross multiply
    6,470.64x = 9,698.46 × 2,767.32
  4. Step 4: Simplify right side
    6,470.64x = 26,838,742.33
  5. Step 5: Solve for x
    x = 26,838,742.33/6,470.64
  6. Step 6: Final answer
    x = 4,147.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.