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Finding the Fourth Proportional to 8,140.25, 12,210.44 and 1,984.25

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Solution

The fourth proportional to 8,140.25, 12,210.44 and 1,984.25 is: 2,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.25 : 12,210.44 = 1,984.25 : x
  2. Step 2: Convert to fraction form
    8,140.25/12,210.44 = 1,984.25/x
  3. Step 3: Cross multiply
    8,140.25x = 12,210.44 × 1,984.25
  4. Step 4: Simplify right side
    8,140.25x = 24,228,555.65
  5. Step 5: Solve for x
    x = 24,228,555.65/8,140.25
  6. Step 6: Final answer
    x = 2,976.39

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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.