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Finding the Fourth Proportional to 7,859.97, 10,846.70 and 4,323.10

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Solution

The fourth proportional to 7,859.97, 10,846.70 and 4,323.10 is: 5,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.97 : 10,846.70 = 4,323.10 : x
  2. Step 2: Convert to fraction form
    7,859.97/10,846.70 = 4,323.10/x
  3. Step 3: Cross multiply
    7,859.97x = 10,846.70 × 4,323.10
  4. Step 4: Simplify right side
    7,859.97x = 46,891,347.15
  5. Step 5: Solve for x
    x = 46,891,347.15/7,859.97
  6. Step 6: Final answer
    x = 5,965.85

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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.