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Finding the Fourth Proportional to 6,485.40, 9,737.10 and 4,159.80

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Solution

The fourth proportional to 6,485.40, 9,737.10 and 4,159.80 is: 6,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.40 : 9,737.10 = 4,159.80 : x
  2. Step 2: Convert to fraction form
    6,485.40/9,737.10 = 4,159.80/x
  3. Step 3: Cross multiply
    6,485.40x = 9,737.10 × 4,159.80
  4. Step 4: Simplify right side
    6,485.40x = 40,504,388.58
  5. Step 5: Solve for x
    x = 40,504,388.58/6,485.40
  6. Step 6: Final answer
    x = 6,245.47

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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.