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Finding the Fourth Proportional to 9,858.50, 13,604.19 and 5,609.43

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Solution

The fourth proportional to 9,858.50, 13,604.19 and 5,609.43 is: 7,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.50 : 13,604.19 = 5,609.43 : x
  2. Step 2: Convert to fraction form
    9,858.50/13,604.19 = 5,609.43/x
  3. Step 3: Cross multiply
    9,858.50x = 13,604.19 × 5,609.43
  4. Step 4: Simplify right side
    9,858.50x = 76,311,751.51
  5. Step 5: Solve for x
    x = 76,311,751.51/9,858.50
  6. Step 6: Final answer
    x = 7,740.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.