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Finding the Fourth Proportional to 6,314.78, 9,470.40 and 1,873.41

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Solution

The fourth proportional to 6,314.78, 9,470.40 and 1,873.41 is: 2,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.78 : 9,470.40 = 1,873.41 : x
  2. Step 2: Convert to fraction form
    6,314.78/9,470.40 = 1,873.41/x
  3. Step 3: Cross multiply
    6,314.78x = 9,470.40 × 1,873.41
  4. Step 4: Simplify right side
    6,314.78x = 17,741,942.06
  5. Step 5: Solve for x
    x = 17,741,942.06/6,314.78
  6. Step 6: Final answer
    x = 2,809.59

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1.5x scale

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.