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Finding the Fourth Proportional to 13,635.50, 18,816.96 and 7,668.50

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Solution

The fourth proportional to 13,635.50, 18,816.96 and 7,668.50 is: 10,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.50 : 18,816.96 = 7,668.50 : x
  2. Step 2: Convert to fraction form
    13,635.50/18,816.96 = 7,668.50/x
  3. Step 3: Cross multiply
    13,635.50x = 18,816.96 × 7,668.50
  4. Step 4: Simplify right side
    13,635.50x = 144,297,857.76
  5. Step 5: Solve for x
    x = 144,297,857.76/13,635.50
  6. Step 6: Final answer
    x = 10,582.51

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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.