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Finding the Fourth Proportional to 7,825.87, 10,799.90 and 4,289.41

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Solution

The fourth proportional to 7,825.87, 10,799.90 and 4,289.41 is: 5,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.87 : 10,799.90 = 4,289.41 : x
  2. Step 2: Convert to fraction form
    7,825.87/10,799.90 = 4,289.41/x
  3. Step 3: Cross multiply
    7,825.87x = 10,799.90 × 4,289.41
  4. Step 4: Simplify right side
    7,825.87x = 46,325,199.06
  5. Step 5: Solve for x
    x = 46,325,199.06/7,825.87
  6. Step 6: Final answer
    x = 5,919.50

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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.