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Finding the Fourth Proportional to 12,181.63, 18,219.65 and 7,172.06

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Solution

The fourth proportional to 12,181.63, 18,219.65 and 7,172.06 is: 10,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.63 : 18,219.65 = 7,172.06 : x
  2. Step 2: Convert to fraction form
    12,181.63/18,219.65 = 7,172.06/x
  3. Step 3: Cross multiply
    12,181.63x = 18,219.65 × 7,172.06
  4. Step 4: Simplify right side
    12,181.63x = 130,672,422.98
  5. Step 5: Solve for x
    x = 130,672,422.98/12,181.63
  6. Step 6: Final answer
    x = 10,727.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.