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Finding the Fourth Proportional to 6,804.41, 9,390.02 and 3,820.23

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Solution

The fourth proportional to 6,804.41, 9,390.02 and 3,820.23 is: 5,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.41 : 9,390.02 = 3,820.23 : x
  2. Step 2: Convert to fraction form
    6,804.41/9,390.02 = 3,820.23/x
  3. Step 3: Cross multiply
    6,804.41x = 9,390.02 × 3,820.23
  4. Step 4: Simplify right side
    6,804.41x = 35,872,017.00
  5. Step 5: Solve for x
    x = 35,872,017.00/6,804.41
  6. Step 6: Final answer
    x = 5,271.88

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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.