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Finding the Fourth Proportional to 16,616.35, 22,929.92 and 9,164.35

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Solution

The fourth proportional to 16,616.35, 22,929.92 and 9,164.35 is: 12,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.35 : 22,929.92 = 9,164.35 : x
  2. Step 2: Convert to fraction form
    16,616.35/22,929.92 = 9,164.35/x
  3. Step 3: Cross multiply
    16,616.35x = 22,929.92 × 9,164.35
  4. Step 4: Simplify right side
    16,616.35x = 210,137,697.70
  5. Step 5: Solve for x
    x = 210,137,697.70/16,616.35
  6. Step 6: Final answer
    x = 12,646.45

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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.