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Finding the Fourth Proportional to 12,523.97, 17,285.04 and 7,220.49

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Solution

The fourth proportional to 12,523.97, 17,285.04 and 7,220.49 is: 9,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.97 : 17,285.04 = 7,220.49 : x
  2. Step 2: Convert to fraction form
    12,523.97/17,285.04 = 7,220.49/x
  3. Step 3: Cross multiply
    12,523.97x = 17,285.04 × 7,220.49
  4. Step 4: Simplify right side
    12,523.97x = 124,806,458.47
  5. Step 5: Solve for x
    x = 124,806,458.47/12,523.97
  6. Step 6: Final answer
    x = 9,965.41

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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.