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Finding the Fourth Proportional to 16,058, 22,173.72 and 10,099.64

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Solution

The fourth proportional to 16,058, 22,173.72 and 10,099.64 is: 13,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058 : 22,173.72 = 10,099.64 : x
  2. Step 2: Convert to fraction form
    16,058/22,173.72 = 10,099.64/x
  3. Step 3: Cross multiply
    16,058x = 22,173.72 × 10,099.64
  4. Step 4: Simplify right side
    16,058x = 223,946,589.46
  5. Step 5: Solve for x
    x = 223,946,589.46/16,058
  6. Step 6: Final answer
    x = 13,946.11

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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.