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Finding the Fourth Proportional to 16,509.68, 22,784.93 and 9,434.73

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Solution

The fourth proportional to 16,509.68, 22,784.93 and 9,434.73 is: 13,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.68 : 22,784.93 = 9,434.73 : x
  2. Step 2: Convert to fraction form
    16,509.68/22,784.93 = 9,434.73/x
  3. Step 3: Cross multiply
    16,509.68x = 22,784.93 × 9,434.73
  4. Step 4: Simplify right side
    16,509.68x = 214,969,662.62
  5. Step 5: Solve for x
    x = 214,969,662.62/16,509.68
  6. Step 6: Final answer
    x = 13,020.83

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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.