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Finding the Fourth Proportional to 8,204.35, 11,322 and 4,478.35

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Solution

The fourth proportional to 8,204.35, 11,322 and 4,478.35 is: 6,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.35 : 11,322 = 4,478.35 : x
  2. Step 2: Convert to fraction form
    8,204.35/11,322 = 4,478.35/x
  3. Step 3: Cross multiply
    8,204.35x = 11,322 × 4,478.35
  4. Step 4: Simplify right side
    8,204.35x = 50,703,878.70
  5. Step 5: Solve for x
    x = 50,703,878.70/8,204.35
  6. Step 6: Final answer
    x = 6,180.12

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Double 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.