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Finding the Fourth Proportional to 6,480.54, 9,722.36 and 2,098.00

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Solution

The fourth proportional to 6,480.54, 9,722.36 and 2,098.00 is: 3,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.54 : 9,722.36 = 2,098.00 : x
  2. Step 2: Convert to fraction form
    6,480.54/9,722.36 = 2,098.00/x
  3. Step 3: Cross multiply
    6,480.54x = 9,722.36 × 2,098.00
  4. Step 4: Simplify right side
    6,480.54x = 20,397,520.81
  5. Step 5: Solve for x
    x = 20,397,520.81/6,480.54
  6. Step 6: Final answer
    x = 3,147.50

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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.