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Finding the Fourth Proportional to 9,684.75, 13,367.79 and 6,328.11

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Solution

The fourth proportional to 9,684.75, 13,367.79 and 6,328.11 is: 8,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.75 : 13,367.79 = 6,328.11 : x
  2. Step 2: Convert to fraction form
    9,684.75/13,367.79 = 6,328.11/x
  3. Step 3: Cross multiply
    9,684.75x = 13,367.79 × 6,328.11
  4. Step 4: Simplify right side
    9,684.75x = 84,592,845.58
  5. Step 5: Solve for x
    x = 84,592,845.58/9,684.75
  6. Step 6: Final answer
    x = 8,734.64

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Half scale
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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.