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Finding the Fourth Proportional to 6,653.44, 9,980.20 and 1,722.74

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Solution

The fourth proportional to 6,653.44, 9,980.20 and 1,722.74 is: 2,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.44 : 9,980.20 = 1,722.74 : x
  2. Step 2: Convert to fraction form
    6,653.44/9,980.20 = 1,722.74/x
  3. Step 3: Cross multiply
    6,653.44x = 9,980.20 × 1,722.74
  4. Step 4: Simplify right side
    6,653.44x = 17,193,289.75
  5. Step 5: Solve for x
    x = 17,193,289.75/6,653.44
  6. Step 6: Final answer
    x = 2,584.12

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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.