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Finding the Fourth Proportional to 6,645.76, 9,968.68 and 2,028.76

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Solution

The fourth proportional to 6,645.76, 9,968.68 and 2,028.76 is: 3,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.76 : 9,968.68 = 2,028.76 : x
  2. Step 2: Convert to fraction form
    6,645.76/9,968.68 = 2,028.76/x
  3. Step 3: Cross multiply
    6,645.76x = 9,968.68 × 2,028.76
  4. Step 4: Simplify right side
    6,645.76x = 20,224,059.24
  5. Step 5: Solve for x
    x = 20,224,059.24/6,645.76
  6. Step 6: Final answer
    x = 3,043.15

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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.