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Finding the Fourth Proportional to 9,205.56, 13,800.78 and 3,358.44

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Solution

The fourth proportional to 9,205.56, 13,800.78 and 3,358.44 is: 5,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.56 : 13,800.78 = 3,358.44 : x
  2. Step 2: Convert to fraction form
    9,205.56/13,800.78 = 3,358.44/x
  3. Step 3: Cross multiply
    9,205.56x = 13,800.78 × 3,358.44
  4. Step 4: Simplify right side
    9,205.56x = 46,349,091.58
  5. Step 5: Solve for x
    x = 46,349,091.58/9,205.56
  6. Step 6: Final answer
    x = 5,034.90

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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.