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Finding the Fourth Proportional to 15,757.87, 21,746.31 and 8,684.75

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Solution

The fourth proportional to 15,757.87, 21,746.31 and 8,684.75 is: 11,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.87 : 21,746.31 = 8,684.75 : x
  2. Step 2: Convert to fraction form
    15,757.87/21,746.31 = 8,684.75/x
  3. Step 3: Cross multiply
    15,757.87x = 21,746.31 × 8,684.75
  4. Step 4: Simplify right side
    15,757.87x = 188,861,157.04
  5. Step 5: Solve for x
    x = 188,861,157.04/15,757.87
  6. Step 6: Final answer
    x = 11,985.20

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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.