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Finding the Fourth Proportional to 7,867.71, 11,801.57 and 2,024.33

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Solution

The fourth proportional to 7,867.71, 11,801.57 and 2,024.33 is: 3,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.71 : 11,801.57 = 2,024.33 : x
  2. Step 2: Convert to fraction form
    7,867.71/11,801.57 = 2,024.33/x
  3. Step 3: Cross multiply
    7,867.71x = 11,801.57 × 2,024.33
  4. Step 4: Simplify right side
    7,867.71x = 23,890,203.07
  5. Step 5: Solve for x
    x = 23,890,203.07/7,867.71
  6. Step 6: Final answer
    x = 3,036.49

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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.