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Finding the Fourth Proportional to 14,408.44, 19,883.66 and 7,784.44

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Solution

The fourth proportional to 14,408.44, 19,883.66 and 7,784.44 is: 10,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.44 : 19,883.66 = 7,784.44 : x
  2. Step 2: Convert to fraction form
    14,408.44/19,883.66 = 7,784.44/x
  3. Step 3: Cross multiply
    14,408.44x = 19,883.66 × 7,784.44
  4. Step 4: Simplify right side
    14,408.44x = 154,783,069.62
  5. Step 5: Solve for x
    x = 154,783,069.62/14,408.44
  6. Step 6: Final answer
    x = 10,742.53

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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.