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Finding the Fourth Proportional to 16,364.62, 22,582.09 and 9,649.93

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Solution

The fourth proportional to 16,364.62, 22,582.09 and 9,649.93 is: 13,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.62 : 22,582.09 = 9,649.93 : x
  2. Step 2: Convert to fraction form
    16,364.62/22,582.09 = 9,649.93/x
  3. Step 3: Cross multiply
    16,364.62x = 22,582.09 × 9,649.93
  4. Step 4: Simplify right side
    16,364.62x = 217,915,450.72
  5. Step 5: Solve for x
    x = 217,915,450.72/16,364.62
  6. Step 6: Final answer
    x = 13,316.26

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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.