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Finding the Fourth Proportional to 7,862.94, 10,850.67 and 4,277.84

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Solution

The fourth proportional to 7,862.94, 10,850.67 and 4,277.84 is: 5,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.94 : 10,850.67 = 4,277.84 : x
  2. Step 2: Convert to fraction form
    7,862.94/10,850.67 = 4,277.84/x
  3. Step 3: Cross multiply
    7,862.94x = 10,850.67 × 4,277.84
  4. Step 4: Simplify right side
    7,862.94x = 46,417,375.90
  5. Step 5: Solve for x
    x = 46,417,375.90/7,862.94
  6. Step 6: Final answer
    x = 5,903.31

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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.