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Finding the Fourth Proportional to 6,480.75, 9,724.74 and 4,930.41

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Solution

The fourth proportional to 6,480.75, 9,724.74 and 4,930.41 is: 7,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.75 : 9,724.74 = 4,930.41 : x
  2. Step 2: Convert to fraction form
    6,480.75/9,724.74 = 4,930.41/x
  3. Step 3: Cross multiply
    6,480.75x = 9,724.74 × 4,930.41
  4. Step 4: Simplify right side
    6,480.75x = 47,946,955.34
  5. Step 5: Solve for x
    x = 47,946,955.34/6,480.75
  6. Step 6: Final answer
    x = 7,398.37

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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.