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Finding the Fourth Proportional to 13,706.57, 18,908.88 and 8,041.64

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Solution

The fourth proportional to 13,706.57, 18,908.88 and 8,041.64 is: 11,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.57 : 18,908.88 = 8,041.64 : x
  2. Step 2: Convert to fraction form
    13,706.57/18,908.88 = 8,041.64/x
  3. Step 3: Cross multiply
    13,706.57x = 18,908.88 × 8,041.64
  4. Step 4: Simplify right side
    13,706.57x = 152,058,311.22
  5. Step 5: Solve for x
    x = 152,058,311.22/13,706.57
  6. Step 6: Final answer
    x = 11,093.83

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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.