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Finding the Fourth Proportional to 16,171.78, 22,316.96 and 9,098.06

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Solution

The fourth proportional to 16,171.78, 22,316.96 and 9,098.06 is: 12,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.78 : 22,316.96 = 9,098.06 : x
  2. Step 2: Convert to fraction form
    16,171.78/22,316.96 = 9,098.06/x
  3. Step 3: Cross multiply
    16,171.78x = 22,316.96 × 9,098.06
  4. Step 4: Simplify right side
    16,171.78x = 203,041,041.10
  5. Step 5: Solve for x
    x = 203,041,041.10/16,171.78
  6. Step 6: Final answer
    x = 12,555.27

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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.