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Finding the Fourth Proportional to 8,176.55, 11,282.10 and 4,820.42

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Solution

The fourth proportional to 8,176.55, 11,282.10 and 4,820.42 is: 6,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.55 : 11,282.10 = 4,820.42 : x
  2. Step 2: Convert to fraction form
    8,176.55/11,282.10 = 4,820.42/x
  3. Step 3: Cross multiply
    8,176.55x = 11,282.10 × 4,820.42
  4. Step 4: Simplify right side
    8,176.55x = 54,384,446.38
  5. Step 5: Solve for x
    x = 54,384,446.38/8,176.55
  6. Step 6: Final answer
    x = 6,651.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.