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Finding the Fourth Proportional to 7,860.82, 10,847.64 and 4,323.82

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Solution

The fourth proportional to 7,860.82, 10,847.64 and 4,323.82 is: 5,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.82 : 10,847.64 = 4,323.82 : x
  2. Step 2: Convert to fraction form
    7,860.82/10,847.64 = 4,323.82/x
  3. Step 3: Cross multiply
    7,860.82x = 10,847.64 × 4,323.82
  4. Step 4: Simplify right side
    7,860.82x = 46,903,242.78
  5. Step 5: Solve for x
    x = 46,903,242.78/7,860.82
  6. Step 6: Final answer
    x = 5,966.71

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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.