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Finding the Fourth Proportional to 13,162.18, 18,157.97 and 7,853.93

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Solution

The fourth proportional to 13,162.18, 18,157.97 and 7,853.93 is: 10,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.18 : 18,157.97 = 7,853.93 : x
  2. Step 2: Convert to fraction form
    13,162.18/18,157.97 = 7,853.93/x
  3. Step 3: Cross multiply
    13,162.18x = 18,157.97 × 7,853.93
  4. Step 4: Simplify right side
    13,162.18x = 142,611,334.53
  5. Step 5: Solve for x
    x = 142,611,334.53/13,162.18
  6. Step 6: Final answer
    x = 10,834.94

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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.