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Finding the Fourth Proportional to 7,859.42, 10,846.08 and 4,322.60

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Solution

The fourth proportional to 7,859.42, 10,846.08 and 4,322.60 is: 5,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.42 : 10,846.08 = 4,322.60 : x
  2. Step 2: Convert to fraction form
    7,859.42/10,846.08 = 4,322.60/x
  3. Step 3: Cross multiply
    7,859.42x = 10,846.08 × 4,322.60
  4. Step 4: Simplify right side
    7,859.42x = 46,883,265.41
  5. Step 5: Solve for x
    x = 46,883,265.41/7,859.42
  6. Step 6: Final answer
    x = 5,965.23

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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.