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Finding the Fourth Proportional to 8,306.94, 11,462.94 and 4,771.29

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Solution

The fourth proportional to 8,306.94, 11,462.94 and 4,771.29 is: 6,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.94 : 11,462.94 = 4,771.29 : x
  2. Step 2: Convert to fraction form
    8,306.94/11,462.94 = 4,771.29/x
  3. Step 3: Cross multiply
    8,306.94x = 11,462.94 × 4,771.29
  4. Step 4: Simplify right side
    8,306.94x = 54,693,010.99
  5. Step 5: Solve for x
    x = 54,693,010.99/8,306.94
  6. Step 6: Final answer
    x = 6,584.01

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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.