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Finding the Fourth Proportional to 13,041.49, 17,991.30 and 7,733.29

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Solution

The fourth proportional to 13,041.49, 17,991.30 and 7,733.29 is: 10,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.49 : 17,991.30 = 7,733.29 : x
  2. Step 2: Convert to fraction form
    13,041.49/17,991.30 = 7,733.29/x
  3. Step 3: Cross multiply
    13,041.49x = 17,991.30 × 7,733.29
  4. Step 4: Simplify right side
    13,041.49x = 139,131,940.38
  5. Step 5: Solve for x
    x = 139,131,940.38/13,041.49
  6. Step 6: Final answer
    x = 10,668.41

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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.