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Finding the Fourth Proportional to 8,165.99, 12,212.08 and 6,291.65

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Solution

The fourth proportional to 8,165.99, 12,212.08 and 6,291.65 is: 9,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.99 : 12,212.08 = 6,291.65 : x
  2. Step 2: Convert to fraction form
    8,165.99/12,212.08 = 6,291.65/x
  3. Step 3: Cross multiply
    8,165.99x = 12,212.08 × 6,291.65
  4. Step 4: Simplify right side
    8,165.99x = 76,834,056.34
  5. Step 5: Solve for x
    x = 76,834,056.34/8,165.99
  6. Step 6: Final answer
    x = 9,409.04

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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.