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Finding the Fourth Proportional to 8,311.41, 11,470.01 and 4,774.41

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Solution

The fourth proportional to 8,311.41, 11,470.01 and 4,774.41 is: 6,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.41 : 11,470.01 = 4,774.41 : x
  2. Step 2: Convert to fraction form
    8,311.41/11,470.01 = 4,774.41/x
  3. Step 3: Cross multiply
    8,311.41x = 11,470.01 × 4,774.41
  4. Step 4: Simplify right side
    8,311.41x = 54,762,506.57
  5. Step 5: Solve for x
    x = 54,762,506.57/8,311.41
  6. Step 6: Final answer
    x = 6,588.83

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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.