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Finding the Fourth Proportional to 8,147.99, 12,205.58 and 5,652.08

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Solution

The fourth proportional to 8,147.99, 12,205.58 and 5,652.08 is: 8,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.99 : 12,205.58 = 5,652.08 : x
  2. Step 2: Convert to fraction form
    8,147.99/12,205.58 = 5,652.08/x
  3. Step 3: Cross multiply
    8,147.99x = 12,205.58 × 5,652.08
  4. Step 4: Simplify right side
    8,147.99x = 68,986,825.32
  5. Step 5: Solve for x
    x = 68,986,825.32/8,147.99
  6. Step 6: Final answer
    x = 8,466.73

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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.