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Finding the Fourth Proportional to 12,223.81, 16,867.39 and 6,846.53

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Solution

The fourth proportional to 12,223.81, 16,867.39 and 6,846.53 is: 9,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.81 : 16,867.39 = 6,846.53 : x
  2. Step 2: Convert to fraction form
    12,223.81/16,867.39 = 6,846.53/x
  3. Step 3: Cross multiply
    12,223.81x = 16,867.39 × 6,846.53
  4. Step 4: Simplify right side
    12,223.81x = 115,483,003.04
  5. Step 5: Solve for x
    x = 115,483,003.04/12,223.81
  6. Step 6: Final answer
    x = 9,447.38

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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.