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Finding the Fourth Proportional to 6,328.62, 8,729.46 and 3,970.26

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Solution

The fourth proportional to 6,328.62, 8,729.46 and 3,970.26 is: 5,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.62 : 8,729.46 = 3,970.26 : x
  2. Step 2: Convert to fraction form
    6,328.62/8,729.46 = 3,970.26/x
  3. Step 3: Cross multiply
    6,328.62x = 8,729.46 × 3,970.26
  4. Step 4: Simplify right side
    6,328.62x = 34,658,225.86
  5. Step 5: Solve for x
    x = 34,658,225.86/6,328.62
  6. Step 6: Final answer
    x = 5,476.43

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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.