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Finding the Fourth Proportional to 6,784.44, 9,362.68 and 3,800.12

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Solution

The fourth proportional to 6,784.44, 9,362.68 and 3,800.12 is: 5,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.44 : 9,362.68 = 3,800.12 : x
  2. Step 2: Convert to fraction form
    6,784.44/9,362.68 = 3,800.12/x
  3. Step 3: Cross multiply
    6,784.44x = 9,362.68 × 3,800.12
  4. Step 4: Simplify right side
    6,784.44x = 35,579,307.52
  5. Step 5: Solve for x
    x = 35,579,307.52/6,784.44
  6. Step 6: Final answer
    x = 5,244.25

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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.