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Finding the Fourth Proportional to 13,383.66, 18,472.03 and 7,722.07

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Solution

The fourth proportional to 13,383.66, 18,472.03 and 7,722.07 is: 10,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.66 : 18,472.03 = 7,722.07 : x
  2. Step 2: Convert to fraction form
    13,383.66/18,472.03 = 7,722.07/x
  3. Step 3: Cross multiply
    13,383.66x = 18,472.03 × 7,722.07
  4. Step 4: Simplify right side
    13,383.66x = 142,642,243.22
  5. Step 5: Solve for x
    x = 142,642,243.22/13,383.66
  6. Step 6: Final answer
    x = 10,657.94

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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.