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Finding the Fourth Proportional to 14,474.25, 19,975.01 and 8,186.49

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Solution

The fourth proportional to 14,474.25, 19,975.01 and 8,186.49 is: 11,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.25 : 19,975.01 = 8,186.49 : x
  2. Step 2: Convert to fraction form
    14,474.25/19,975.01 = 8,186.49/x
  3. Step 3: Cross multiply
    14,474.25x = 19,975.01 × 8,186.49
  4. Step 4: Simplify right side
    14,474.25x = 163,525,178.68
  5. Step 5: Solve for x
    x = 163,525,178.68/14,474.25
  6. Step 6: Final answer
    x = 11,297.66

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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.