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Finding the Fourth Proportional to 6,804.66, 9,390.43 and 3,820.21

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Solution

The fourth proportional to 6,804.66, 9,390.43 and 3,820.21 is: 5,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.66 : 9,390.43 = 3,820.21 : x
  2. Step 2: Convert to fraction form
    6,804.66/9,390.43 = 3,820.21/x
  3. Step 3: Cross multiply
    6,804.66x = 9,390.43 × 3,820.21
  4. Step 4: Simplify right side
    6,804.66x = 35,873,414.59
  5. Step 5: Solve for x
    x = 35,873,414.59/6,804.66
  6. Step 6: Final answer
    x = 5,271.89

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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.