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Finding the Fourth Proportional to 6,846.62, 10,259.48 and 4,207.23

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Solution

The fourth proportional to 6,846.62, 10,259.48 and 4,207.23 is: 6,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.62 : 10,259.48 = 4,207.23 : x
  2. Step 2: Convert to fraction form
    6,846.62/10,259.48 = 4,207.23/x
  3. Step 3: Cross multiply
    6,846.62x = 10,259.48 × 4,207.23
  4. Step 4: Simplify right side
    6,846.62x = 43,163,971.00
  5. Step 5: Solve for x
    x = 43,163,971.00/6,846.62
  6. Step 6: Final answer
    x = 6,304.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.