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Finding the Fourth Proportional to 7,860.92, 10,847.84 and 4,324.13

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Solution

The fourth proportional to 7,860.92, 10,847.84 and 4,324.13 is: 5,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.92 : 10,847.84 = 4,324.13 : x
  2. Step 2: Convert to fraction form
    7,860.92/10,847.84 = 4,324.13/x
  3. Step 3: Cross multiply
    7,860.92x = 10,847.84 × 4,324.13
  4. Step 4: Simplify right side
    7,860.92x = 46,907,429.01
  5. Step 5: Solve for x
    x = 46,907,429.01/7,860.92
  6. Step 6: Final answer
    x = 5,967.17

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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.