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Finding the Fourth Proportional to 8,151.62, 12,216.48 and 4,448.30

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Solution

The fourth proportional to 8,151.62, 12,216.48 and 4,448.30 is: 6,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.62 : 12,216.48 = 4,448.30 : x
  2. Step 2: Convert to fraction form
    8,151.62/12,216.48 = 4,448.30/x
  3. Step 3: Cross multiply
    8,151.62x = 12,216.48 × 4,448.30
  4. Step 4: Simplify right side
    8,151.62x = 54,342,567.98
  5. Step 5: Solve for x
    x = 54,342,567.98/8,151.62
  6. Step 6: Final answer
    x = 6,666.47

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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.