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Finding the Fourth Proportional to 12,188.97, 16,821.54 and 7,412.28

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Solution

The fourth proportional to 12,188.97, 16,821.54 and 7,412.28 is: 10,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.97 : 16,821.54 = 7,412.28 : x
  2. Step 2: Convert to fraction form
    12,188.97/16,821.54 = 7,412.28/x
  3. Step 3: Cross multiply
    12,188.97x = 16,821.54 × 7,412.28
  4. Step 4: Simplify right side
    12,188.97x = 124,685,964.51
  5. Step 5: Solve for x
    x = 124,685,964.51/12,188.97
  6. Step 6: Final answer
    x = 10,229.41

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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.