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Finding the Fourth Proportional to 14,710.25, 20,301.09 and 8,250.49

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Solution

The fourth proportional to 14,710.25, 20,301.09 and 8,250.49 is: 11,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.25 : 20,301.09 = 8,250.49 : x
  2. Step 2: Convert to fraction form
    14,710.25/20,301.09 = 8,250.49/x
  3. Step 3: Cross multiply
    14,710.25x = 20,301.09 × 8,250.49
  4. Step 4: Simplify right side
    14,710.25x = 167,493,940.03
  5. Step 5: Solve for x
    x = 167,493,940.03/14,710.25
  6. Step 6: Final answer
    x = 11,386.21

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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.