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Finding the Fourth Proportional to 9,205.10, 13,800.09 and 3,656.06

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Solution

The fourth proportional to 9,205.10, 13,800.09 and 3,656.06 is: 5,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.10 : 13,800.09 = 3,656.06 : x
  2. Step 2: Convert to fraction form
    9,205.10/13,800.09 = 3,656.06/x
  3. Step 3: Cross multiply
    9,205.10x = 13,800.09 × 3,656.06
  4. Step 4: Simplify right side
    9,205.10x = 50,453,957.05
  5. Step 5: Solve for x
    x = 50,453,957.05/9,205.10
  6. Step 6: Final answer
    x = 5,481.09

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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.