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Finding the Fourth Proportional to 13,504.62, 18,633.53 and 7,838.67

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Solution

The fourth proportional to 13,504.62, 18,633.53 and 7,838.67 is: 10,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.62 : 18,633.53 = 7,838.67 : x
  2. Step 2: Convert to fraction form
    13,504.62/18,633.53 = 7,838.67/x
  3. Step 3: Cross multiply
    13,504.62x = 18,633.53 × 7,838.67
  4. Step 4: Simplify right side
    13,504.62x = 146,062,053.41
  5. Step 5: Solve for x
    x = 146,062,053.41/13,504.62
  6. Step 6: Final answer
    x = 10,815.71

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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.