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Finding the Fourth Proportional to 13,706.56, 20,559.84 and 7,866.88

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Solution

The fourth proportional to 13,706.56, 20,559.84 and 7,866.88 is: 11,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.56 : 20,559.84 = 7,866.88 : x
  2. Step 2: Convert to fraction form
    13,706.56/20,559.84 = 7,866.88/x
  3. Step 3: Cross multiply
    13,706.56x = 20,559.84 × 7,866.88
  4. Step 4: Simplify right side
    13,706.56x = 161,741,794.10
  5. Step 5: Solve for x
    x = 161,741,794.10/13,706.56
  6. Step 6: Final answer
    x = 11,800.32

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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.