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Finding the Fourth Proportional to 6,645.68, 9,968.46 and 1,966

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Solution

The fourth proportional to 6,645.68, 9,968.46 and 1,966 is: 2,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.68 : 9,968.46 = 1,966 : x
  2. Step 2: Convert to fraction form
    6,645.68/9,968.46 = 1,966/x
  3. Step 3: Cross multiply
    6,645.68x = 9,968.46 × 1,966
  4. Step 4: Simplify right side
    6,645.68x = 19,597,992.36
  5. Step 5: Solve for x
    x = 19,597,992.36/6,645.68
  6. Step 6: Final answer
    x = 2,948.98

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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.