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Finding the Fourth Proportional to 15,858.32, 21,882.97 and 8,784.59

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Solution

The fourth proportional to 15,858.32, 21,882.97 and 8,784.59 is: 12,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.32 : 21,882.97 = 8,784.59 : x
  2. Step 2: Convert to fraction form
    15,858.32/21,882.97 = 8,784.59/x
  3. Step 3: Cross multiply
    15,858.32x = 21,882.97 × 8,784.59
  4. Step 4: Simplify right side
    15,858.32x = 192,232,919.43
  5. Step 5: Solve for x
    x = 192,232,919.43/15,858.32
  6. Step 6: Final answer
    x = 12,121.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.