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Finding the Fourth Proportional to 7,873.64, 11,809.44 and 2,327.57

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Solution

The fourth proportional to 7,873.64, 11,809.44 and 2,327.57 is: 3,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.64 : 11,809.44 = 2,327.57 : x
  2. Step 2: Convert to fraction form
    7,873.64/11,809.44 = 2,327.57/x
  3. Step 3: Cross multiply
    7,873.64x = 11,809.44 × 2,327.57
  4. Step 4: Simplify right side
    7,873.64x = 27,487,283.50
  5. Step 5: Solve for x
    x = 27,487,283.50/7,873.64
  6. Step 6: Final answer
    x = 3,491.05

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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.