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Finding the Fourth Proportional to 16,112, 22,234.62 and 9,402.26

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Solution

The fourth proportional to 16,112, 22,234.62 and 9,402.26 is: 12,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112 : 22,234.62 = 9,402.26 : x
  2. Step 2: Convert to fraction form
    16,112/22,234.62 = 9,402.26/x
  3. Step 3: Cross multiply
    16,112x = 22,234.62 × 9,402.26
  4. Step 4: Simplify right side
    16,112x = 209,055,678.24
  5. Step 5: Solve for x
    x = 209,055,678.24/16,112
  6. Step 6: Final answer
    x = 12,975.15

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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.