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Finding the Fourth Proportional to 15,713.64, 21,684.24 and 8,639.64

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Solution

The fourth proportional to 15,713.64, 21,684.24 and 8,639.64 is: 11,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.64 : 21,684.24 = 8,639.64 : x
  2. Step 2: Convert to fraction form
    15,713.64/21,684.24 = 8,639.64/x
  3. Step 3: Cross multiply
    15,713.64x = 21,684.24 × 8,639.64
  4. Step 4: Simplify right side
    15,713.64x = 187,344,027.27
  5. Step 5: Solve for x
    x = 187,344,027.27/15,713.64
  6. Step 6: Final answer
    x = 11,922.38

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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.