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Finding the Fourth Proportional to 7,859.76, 10,846.40 and 4,322.96

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Solution

The fourth proportional to 7,859.76, 10,846.40 and 4,322.96 is: 5,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.76 : 10,846.40 = 4,322.96 : x
  2. Step 2: Convert to fraction form
    7,859.76/10,846.40 = 4,322.96/x
  3. Step 3: Cross multiply
    7,859.76x = 10,846.40 × 4,322.96
  4. Step 4: Simplify right side
    7,859.76x = 46,888,553.34
  5. Step 5: Solve for x
    x = 46,888,553.34/7,859.76
  6. Step 6: Final answer
    x = 5,965.65

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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.