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Finding the Fourth Proportional to 14,194.71, 19,589.04 and 7,907.49

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Solution

The fourth proportional to 14,194.71, 19,589.04 and 7,907.49 is: 10,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.71 : 19,589.04 = 7,907.49 : x
  2. Step 2: Convert to fraction form
    14,194.71/19,589.04 = 7,907.49/x
  3. Step 3: Cross multiply
    14,194.71x = 19,589.04 × 7,907.49
  4. Step 4: Simplify right side
    14,194.71x = 154,900,137.91
  5. Step 5: Solve for x
    x = 154,900,137.91/14,194.71
  6. Step 6: Final answer
    x = 10,912.53

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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.