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Finding the Fourth Proportional to 5,982.25, 8,973.74 and 1,878.25

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Solution

The fourth proportional to 5,982.25, 8,973.74 and 1,878.25 is: 2,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.25 : 8,973.74 = 1,878.25 : x
  2. Step 2: Convert to fraction form
    5,982.25/8,973.74 = 1,878.25/x
  3. Step 3: Cross multiply
    5,982.25x = 8,973.74 × 1,878.25
  4. Step 4: Simplify right side
    5,982.25x = 16,854,917.76
  5. Step 5: Solve for x
    x = 16,854,917.76/5,982.25
  6. Step 6: Final answer
    x = 2,817.49

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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.