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Finding the Fourth Proportional to 8,147.40, 12,245.40 and 7,078.20

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Solution

The fourth proportional to 8,147.40, 12,245.40 and 7,078.20 is: 10,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.40 : 12,245.40 = 7,078.20 : x
  2. Step 2: Convert to fraction form
    8,147.40/12,245.40 = 7,078.20/x
  3. Step 3: Cross multiply
    8,147.40x = 12,245.40 × 7,078.20
  4. Step 4: Simplify right side
    8,147.40x = 86,675,390.28
  5. Step 5: Solve for x
    x = 86,675,390.28/8,147.40
  6. Step 6: Final answer
    x = 10,638.41

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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.