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Finding the Fourth Proportional to 11,903.71, 17,857.09 and 4,002.84

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Solution

The fourth proportional to 11,903.71, 17,857.09 and 4,002.84 is: 6,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.71 : 17,857.09 = 4,002.84 : x
  2. Step 2: Convert to fraction form
    11,903.71/17,857.09 = 4,002.84/x
  3. Step 3: Cross multiply
    11,903.71x = 17,857.09 × 4,002.84
  4. Step 4: Simplify right side
    11,903.71x = 71,479,074.14
  5. Step 5: Solve for x
    x = 71,479,074.14/11,903.71
  6. Step 6: Final answer
    x = 6,004.77

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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.