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Finding the Fourth Proportional to 6,784.39, 9,362.01 and 3,800.22

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Solution

The fourth proportional to 6,784.39, 9,362.01 and 3,800.22 is: 5,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.39 : 9,362.01 = 3,800.22 : x
  2. Step 2: Convert to fraction form
    6,784.39/9,362.01 = 3,800.22/x
  3. Step 3: Cross multiply
    6,784.39x = 9,362.01 × 3,800.22
  4. Step 4: Simplify right side
    6,784.39x = 35,577,697.64
  5. Step 5: Solve for x
    x = 35,577,697.64/6,784.39
  6. Step 6: Final answer
    x = 5,244.05

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Double scale
Find fourth proportional to 6,785.39, 9,363.39 and 3,801.22
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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.