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Finding the Fourth Proportional to 12,266.40, 18,409.20 and 5,693.40

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Solution

The fourth proportional to 12,266.40, 18,409.20 and 5,693.40 is: 8,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.40 : 18,409.20 = 5,693.40 : x
  2. Step 2: Convert to fraction form
    12,266.40/18,409.20 = 5,693.40/x
  3. Step 3: Cross multiply
    12,266.40x = 18,409.20 × 5,693.40
  4. Step 4: Simplify right side
    12,266.40x = 104,810,939.28
  5. Step 5: Solve for x
    x = 104,810,939.28/12,266.40
  6. Step 6: Final answer
    x = 8,544.56

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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.