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Finding the Fourth Proportional to 6,298.80, 9,448.20 and 2,194.80

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Solution

The fourth proportional to 6,298.80, 9,448.20 and 2,194.80 is: 3,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.80 : 9,448.20 = 2,194.80 : x
  2. Step 2: Convert to fraction form
    6,298.80/9,448.20 = 2,194.80/x
  3. Step 3: Cross multiply
    6,298.80x = 9,448.20 × 2,194.80
  4. Step 4: Simplify right side
    6,298.80x = 20,736,909.36
  5. Step 5: Solve for x
    x = 20,736,909.36/6,298.80
  6. Step 6: Final answer
    x = 3,292.20

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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.