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Finding the Fourth Proportional to 9,144.99, 13,713.71 and 3,597.57

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Solution

The fourth proportional to 9,144.99, 13,713.71 and 3,597.57 is: 5,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.99 : 13,713.71 = 3,597.57 : x
  2. Step 2: Convert to fraction form
    9,144.99/13,713.71 = 3,597.57/x
  3. Step 3: Cross multiply
    9,144.99x = 13,713.71 × 3,597.57
  4. Step 4: Simplify right side
    9,144.99x = 49,336,013.70
  5. Step 5: Solve for x
    x = 49,336,013.70/9,144.99
  6. Step 6: Final answer
    x = 5,394.87

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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.