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Finding the Fourth Proportional to 8,124.40, 12,186.60 and 6,812.20

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Solution

The fourth proportional to 8,124.40, 12,186.60 and 6,812.20 is: 10,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.40 : 12,186.60 = 6,812.20 : x
  2. Step 2: Convert to fraction form
    8,124.40/12,186.60 = 6,812.20/x
  3. Step 3: Cross multiply
    8,124.40x = 12,186.60 × 6,812.20
  4. Step 4: Simplify right side
    8,124.40x = 83,017,556.52
  5. Step 5: Solve for x
    x = 83,017,556.52/8,124.40
  6. Step 6: Final answer
    x = 10,218.30

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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.