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Finding the Fourth Proportional to 9,424.44, 13,011.77 and 8,414.40

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Solution

The fourth proportional to 9,424.44, 13,011.77 and 8,414.40 is: 11,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.44 : 13,011.77 = 8,414.40 : x
  2. Step 2: Convert to fraction form
    9,424.44/13,011.77 = 8,414.40/x
  3. Step 3: Cross multiply
    9,424.44x = 13,011.77 × 8,414.40
  4. Step 4: Simplify right side
    9,424.44x = 109,486,237.49
  5. Step 5: Solve for x
    x = 109,486,237.49/9,424.44
  6. Step 6: Final answer
    x = 11,617.27

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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.