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Finding the Fourth Proportional to 24,446.56, 36,667.49 and 7,803.64

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Solution

The fourth proportional to 24,446.56, 36,667.49 and 7,803.64 is: 11,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446.56 : 36,667.49 = 7,803.64 : x
  2. Step 2: Convert to fraction form
    24,446.56/36,667.49 = 7,803.64/x
  3. Step 3: Cross multiply
    24,446.56x = 36,667.49 × 7,803.64
  4. Step 4: Simplify right side
    24,446.56x = 286,139,898.48
  5. Step 5: Solve for x
    x = 286,139,898.48/24,446.56
  6. Step 6: Final answer
    x = 11,704.71

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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.