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Finding the Fourth Proportional to 7,862.82, 10,850.40 and 4,325.82

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Solution

The fourth proportional to 7,862.82, 10,850.40 and 4,325.82 is: 5,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.82 : 10,850.40 = 4,325.82 : x
  2. Step 2: Convert to fraction form
    7,862.82/10,850.40 = 4,325.82/x
  3. Step 3: Cross multiply
    7,862.82x = 10,850.40 × 4,325.82
  4. Step 4: Simplify right side
    7,862.82x = 46,936,877.33
  5. Step 5: Solve for x
    x = 46,936,877.33/7,862.82
  6. Step 6: Final answer
    x = 5,969.47

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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.