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Finding the Fourth Proportional to 7,873.62, 11,812.47 and 2,326.74

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Solution

The fourth proportional to 7,873.62, 11,812.47 and 2,326.74 is: 3,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.62 : 11,812.47 = 2,326.74 : x
  2. Step 2: Convert to fraction form
    7,873.62/11,812.47 = 2,326.74/x
  3. Step 3: Cross multiply
    7,873.62x = 11,812.47 × 2,326.74
  4. Step 4: Simplify right side
    7,873.62x = 27,484,546.45
  5. Step 5: Solve for x
    x = 27,484,546.45/7,873.62
  6. Step 6: Final answer
    x = 3,490.71

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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.