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Finding the Fourth Proportional to 11,814.71, 16,304.09 and 6,509.48

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Solution

The fourth proportional to 11,814.71, 16,304.09 and 6,509.48 is: 8,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.71 : 16,304.09 = 6,509.48 : x
  2. Step 2: Convert to fraction form
    11,814.71/16,304.09 = 6,509.48/x
  3. Step 3: Cross multiply
    11,814.71x = 16,304.09 × 6,509.48
  4. Step 4: Simplify right side
    11,814.71x = 106,131,033.71
  5. Step 5: Solve for x
    x = 106,131,033.71/11,814.71
  6. Step 6: Final answer
    x = 8,982.96

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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.