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Finding the Fourth Proportional to 6,784.24, 9,362.84 and 3,800.02

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Solution

The fourth proportional to 6,784.24, 9,362.84 and 3,800.02 is: 5,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.24 : 9,362.84 = 3,800.02 : x
  2. Step 2: Convert to fraction form
    6,784.24/9,362.84 = 3,800.02/x
  3. Step 3: Cross multiply
    6,784.24x = 9,362.84 × 3,800.02
  4. Step 4: Simplify right side
    6,784.24x = 35,578,979.26
  5. Step 5: Solve for x
    x = 35,578,979.26/6,784.24
  6. Step 6: Final answer
    x = 5,244.36

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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.