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Finding the Fourth Proportional to 16,400.94, 22,634.55 and 9,326.94

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Solution

The fourth proportional to 16,400.94, 22,634.55 and 9,326.94 is: 12,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.94 : 22,634.55 = 9,326.94 : x
  2. Step 2: Convert to fraction form
    16,400.94/22,634.55 = 9,326.94/x
  3. Step 3: Cross multiply
    16,400.94x = 22,634.55 × 9,326.94
  4. Step 4: Simplify right side
    16,400.94x = 211,111,089.78
  5. Step 5: Solve for x
    x = 211,111,089.78/16,400.94
  6. Step 6: Final answer
    x = 12,871.89

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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.