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Finding the Fourth Proportional to 7,844.53, 10,825.41 and 4,259.41

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Solution

The fourth proportional to 7,844.53, 10,825.41 and 4,259.41 is: 5,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.53 : 10,825.41 = 4,259.41 : x
  2. Step 2: Convert to fraction form
    7,844.53/10,825.41 = 4,259.41/x
  3. Step 3: Cross multiply
    7,844.53x = 10,825.41 × 4,259.41
  4. Step 4: Simplify right side
    7,844.53x = 46,109,859.61
  5. Step 5: Solve for x
    x = 46,109,859.61/7,844.53
  6. Step 6: Final answer
    x = 5,877.96

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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.