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Finding the Fourth Proportional to 4,447.33, 6,671.76 and 1,982.09

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Solution

The fourth proportional to 4,447.33, 6,671.76 and 1,982.09 is: 2,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.33 : 6,671.76 = 1,982.09 : x
  2. Step 2: Convert to fraction form
    4,447.33/6,671.76 = 1,982.09/x
  3. Step 3: Cross multiply
    4,447.33x = 6,671.76 × 1,982.09
  4. Step 4: Simplify right side
    4,447.33x = 13,224,038.02
  5. Step 5: Solve for x
    x = 13,224,038.02/4,447.33
  6. Step 6: Final answer
    x = 2,973.48

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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.