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Finding the Fourth Proportional to 9,470.94, 13,063.14 and 8,209.80

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Solution

The fourth proportional to 9,470.94, 13,063.14 and 8,209.80 is: 11,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.94 : 13,063.14 = 8,209.80 : x
  2. Step 2: Convert to fraction form
    9,470.94/13,063.14 = 8,209.80/x
  3. Step 3: Cross multiply
    9,470.94x = 13,063.14 × 8,209.80
  4. Step 4: Simplify right side
    9,470.94x = 107,245,766.77
  5. Step 5: Solve for x
    x = 107,245,766.77/9,470.94
  6. Step 6: Final answer
    x = 11,323.67

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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.