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Finding the Fourth Proportional to 9,408.32, 14,043.52 and 8,184.32

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Solution

The fourth proportional to 9,408.32, 14,043.52 and 8,184.32 is: 12,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.32 : 14,043.52 = 8,184.32 : x
  2. Step 2: Convert to fraction form
    9,408.32/14,043.52 = 8,184.32/x
  3. Step 3: Cross multiply
    9,408.32x = 14,043.52 × 8,184.32
  4. Step 4: Simplify right side
    9,408.32x = 114,936,661.61
  5. Step 5: Solve for x
    x = 114,936,661.61/9,408.32
  6. Step 6: Final answer
    x = 12,216.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.