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Finding the Fourth Proportional to 16,165.52, 22,302.92 and 9,794.08

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Solution

The fourth proportional to 16,165.52, 22,302.92 and 9,794.08 is: 13,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.52 : 22,302.92 = 9,794.08 : x
  2. Step 2: Convert to fraction form
    16,165.52/22,302.92 = 9,794.08/x
  3. Step 3: Cross multiply
    16,165.52x = 22,302.92 × 9,794.08
  4. Step 4: Simplify right side
    16,165.52x = 218,436,582.71
  5. Step 5: Solve for x
    x = 218,436,582.71/16,165.52
  6. Step 6: Final answer
    x = 13,512.50

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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.