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Finding the Fourth Proportional to 9,834.44, 14,676.08 and 8,783.46

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Solution

The fourth proportional to 9,834.44, 14,676.08 and 8,783.46 is: 13,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.44 : 14,676.08 = 8,783.46 : x
  2. Step 2: Convert to fraction form
    9,834.44/14,676.08 = 8,783.46/x
  3. Step 3: Cross multiply
    9,834.44x = 14,676.08 × 8,783.46
  4. Step 4: Simplify right side
    9,834.44x = 128,906,717.72
  5. Step 5: Solve for x
    x = 128,906,717.72/9,834.44
  6. Step 6: Final answer
    x = 13,107.69

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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.