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Finding the Fourth Proportional to 6,783.94, 9,362.19 and 3,799.60

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Solution

The fourth proportional to 6,783.94, 9,362.19 and 3,799.60 is: 5,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.94 : 9,362.19 = 3,799.60 : x
  2. Step 2: Convert to fraction form
    6,783.94/9,362.19 = 3,799.60/x
  3. Step 3: Cross multiply
    6,783.94x = 9,362.19 × 3,799.60
  4. Step 4: Simplify right side
    6,783.94x = 35,572,577.12
  5. Step 5: Solve for x
    x = 35,572,577.12/6,783.94
  6. Step 6: Final answer
    x = 5,243.65

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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.