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Finding the Fourth Proportional to 12,286.17, 18,431.17 and 5,266.10

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Solution

The fourth proportional to 12,286.17, 18,431.17 and 5,266.10 is: 7,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.17 : 18,431.17 = 5,266.10 : x
  2. Step 2: Convert to fraction form
    12,286.17/18,431.17 = 5,266.10/x
  3. Step 3: Cross multiply
    12,286.17x = 18,431.17 × 5,266.10
  4. Step 4: Simplify right side
    12,286.17x = 97,060,384.34
  5. Step 5: Solve for x
    x = 97,060,384.34/12,286.17
  6. Step 6: Final answer
    x = 7,899.97

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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.