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Finding the Fourth Proportional to 6,846.26, 9,448.08 and 3,862.22

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Solution

The fourth proportional to 6,846.26, 9,448.08 and 3,862.22 is: 5,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.26 : 9,448.08 = 3,862.22 : x
  2. Step 2: Convert to fraction form
    6,846.26/9,448.08 = 3,862.22/x
  3. Step 3: Cross multiply
    6,846.26x = 9,448.08 × 3,862.22
  4. Step 4: Simplify right side
    6,846.26x = 36,490,563.54
  5. Step 5: Solve for x
    x = 36,490,563.54/6,846.26
  6. Step 6: Final answer
    x = 5,330.00

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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.