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Finding the Fourth Proportional to 9,141.76, 13,694.37 and 4,204.63

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Solution

The fourth proportional to 9,141.76, 13,694.37 and 4,204.63 is: 6,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.76 : 13,694.37 = 4,204.63 : x
  2. Step 2: Convert to fraction form
    9,141.76/13,694.37 = 4,204.63/x
  3. Step 3: Cross multiply
    9,141.76x = 13,694.37 × 4,204.63
  4. Step 4: Simplify right side
    9,141.76x = 57,579,758.93
  5. Step 5: Solve for x
    x = 57,579,758.93/9,141.76
  6. Step 6: Final answer
    x = 6,298.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.