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Finding the Fourth Proportional to 13,048.08, 17,996.76 and 7,738.80

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Solution

The fourth proportional to 13,048.08, 17,996.76 and 7,738.80 is: 10,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.08 : 17,996.76 = 7,738.80 : x
  2. Step 2: Convert to fraction form
    13,048.08/17,996.76 = 7,738.80/x
  3. Step 3: Cross multiply
    13,048.08x = 17,996.76 × 7,738.80
  4. Step 4: Simplify right side
    13,048.08x = 139,273,326.29
  5. Step 5: Solve for x
    x = 139,273,326.29/13,048.08
  6. Step 6: Final answer
    x = 10,673.86

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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.