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Finding the Fourth Proportional to 15,774.75, 21,769.16 and 8,701.43

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Solution

The fourth proportional to 15,774.75, 21,769.16 and 8,701.43 is: 12,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.75 : 21,769.16 = 8,701.43 : x
  2. Step 2: Convert to fraction form
    15,774.75/21,769.16 = 8,701.43/x
  3. Step 3: Cross multiply
    15,774.75x = 21,769.16 × 8,701.43
  4. Step 4: Simplify right side
    15,774.75x = 189,422,669.55
  5. Step 5: Solve for x
    x = 189,422,669.55/15,774.75
  6. Step 6: Final answer
    x = 12,007.97

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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.