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Finding the Fourth Proportional to 7,967.80, 11,946.30 and 4,220.20

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Solution

The fourth proportional to 7,967.80, 11,946.30 and 4,220.20 is: 6,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.80 : 11,946.30 = 4,220.20 : x
  2. Step 2: Convert to fraction form
    7,967.80/11,946.30 = 4,220.20/x
  3. Step 3: Cross multiply
    7,967.80x = 11,946.30 × 4,220.20
  4. Step 4: Simplify right side
    7,967.80x = 50,415,775.26
  5. Step 5: Solve for x
    x = 50,415,775.26/7,967.80
  6. Step 6: Final answer
    x = 6,327.44

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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.