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Finding the Fourth Proportional to 6,820.40, 9,412.06 and 3,836.23

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Solution

The fourth proportional to 6,820.40, 9,412.06 and 3,836.23 is: 5,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.40 : 9,412.06 = 3,836.23 : x
  2. Step 2: Convert to fraction form
    6,820.40/9,412.06 = 3,836.23/x
  3. Step 3: Cross multiply
    6,820.40x = 9,412.06 × 3,836.23
  4. Step 4: Simplify right side
    6,820.40x = 36,106,829.11
  5. Step 5: Solve for x
    x = 36,106,829.11/6,820.40
  6. Step 6: Final answer
    x = 5,293.95

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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.