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Finding the Fourth Proportional to 9,588.85, 13,229.94 and 6,184.42

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Solution

The fourth proportional to 9,588.85, 13,229.94 and 6,184.42 is: 8,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.85 : 13,229.94 = 6,184.42 : x
  2. Step 2: Convert to fraction form
    9,588.85/13,229.94 = 6,184.42/x
  3. Step 3: Cross multiply
    9,588.85x = 13,229.94 × 6,184.42
  4. Step 4: Simplify right side
    9,588.85x = 81,819,495.65
  5. Step 5: Solve for x
    x = 81,819,495.65/9,588.85
  6. Step 6: Final answer
    x = 8,532.78

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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.