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Finding the Fourth Proportional to 14,191.88, 19,584.60 and 7,904.30

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Solution

The fourth proportional to 14,191.88, 19,584.60 and 7,904.30 is: 10,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.88 : 19,584.60 = 7,904.30 : x
  2. Step 2: Convert to fraction form
    14,191.88/19,584.60 = 7,904.30/x
  3. Step 3: Cross multiply
    14,191.88x = 19,584.60 × 7,904.30
  4. Step 4: Simplify right side
    14,191.88x = 154,802,553.78
  5. Step 5: Solve for x
    x = 154,802,553.78/14,191.88
  6. Step 6: Final answer
    x = 10,907.83

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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.