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Finding the Fourth Proportional to 9,537.19, 13,161.32 and 5,811.19

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Solution

The fourth proportional to 9,537.19, 13,161.32 and 5,811.19 is: 8,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.19 : 13,161.32 = 5,811.19 : x
  2. Step 2: Convert to fraction form
    9,537.19/13,161.32 = 5,811.19/x
  3. Step 3: Cross multiply
    9,537.19x = 13,161.32 × 5,811.19
  4. Step 4: Simplify right side
    9,537.19x = 76,482,891.00
  5. Step 5: Solve for x
    x = 76,482,891.00/9,537.19
  6. Step 6: Final answer
    x = 8,019.44

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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.