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Finding the Fourth Proportional to 8,206.90, 12,318.27 and 7,762.90

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Solution

The fourth proportional to 8,206.90, 12,318.27 and 7,762.90 is: 11,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.90 : 12,318.27 = 7,762.90 : x
  2. Step 2: Convert to fraction form
    8,206.90/12,318.27 = 7,762.90/x
  3. Step 3: Cross multiply
    8,206.90x = 12,318.27 × 7,762.90
  4. Step 4: Simplify right side
    8,206.90x = 95,625,498.18
  5. Step 5: Solve for x
    x = 95,625,498.18/8,206.90
  6. Step 6: Final answer
    x = 11,651.84

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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.