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Finding the Fourth Proportional to 9,162.44, 13,725.90 and 7,205

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Solution

The fourth proportional to 9,162.44, 13,725.90 and 7,205 is: 10,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.44 : 13,725.90 = 7,205 : x
  2. Step 2: Convert to fraction form
    9,162.44/13,725.90 = 7,205/x
  3. Step 3: Cross multiply
    9,162.44x = 13,725.90 × 7,205
  4. Step 4: Simplify right side
    9,162.44x = 98,895,109.50
  5. Step 5: Solve for x
    x = 98,895,109.50/9,162.44
  6. Step 6: Final answer
    x = 10,793.53

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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.