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Finding the Fourth Proportional to 9,609.67, 14,409.49 and 3,684.79

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Solution

The fourth proportional to 9,609.67, 14,409.49 and 3,684.79 is: 5,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.67 : 14,409.49 = 3,684.79 : x
  2. Step 2: Convert to fraction form
    9,609.67/14,409.49 = 3,684.79/x
  3. Step 3: Cross multiply
    9,609.67x = 14,409.49 × 3,684.79
  4. Step 4: Simplify right side
    9,609.67x = 53,095,944.66
  5. Step 5: Solve for x
    x = 53,095,944.66/9,609.67
  6. Step 6: Final answer
    x = 5,525.26

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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.