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Finding the Fourth Proportional to 11,614.69, 16,012.79 and 9,232.58

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Solution

The fourth proportional to 11,614.69, 16,012.79 and 9,232.58 is: 12,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.69 : 16,012.79 = 9,232.58 : x
  2. Step 2: Convert to fraction form
    11,614.69/16,012.79 = 9,232.58/x
  3. Step 3: Cross multiply
    11,614.69x = 16,012.79 × 9,232.58
  4. Step 4: Simplify right side
    11,614.69x = 147,839,393.19
  5. Step 5: Solve for x
    x = 147,839,393.19/11,614.69
  6. Step 6: Final answer
    x = 12,728.65

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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.