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Finding the Fourth Proportional to 12,431.40, 18,647.64 and 6,194.40

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Solution

The fourth proportional to 12,431.40, 18,647.64 and 6,194.40 is: 9,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.40 : 18,647.64 = 6,194.40 : x
  2. Step 2: Convert to fraction form
    12,431.40/18,647.64 = 6,194.40/x
  3. Step 3: Cross multiply
    12,431.40x = 18,647.64 × 6,194.40
  4. Step 4: Simplify right side
    12,431.40x = 115,510,941.22
  5. Step 5: Solve for x
    x = 115,510,941.22/12,431.40
  6. Step 6: Final answer
    x = 9,291.87

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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.