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Finding the Fourth Proportional to 8,349.62, 11,523.77 and 4,764.57

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Solution

The fourth proportional to 8,349.62, 11,523.77 and 4,764.57 is: 6,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.62 : 11,523.77 = 4,764.57 : x
  2. Step 2: Convert to fraction form
    8,349.62/11,523.77 = 4,764.57/x
  3. Step 3: Cross multiply
    8,349.62x = 11,523.77 × 4,764.57
  4. Step 4: Simplify right side
    8,349.62x = 54,905,818.87
  5. Step 5: Solve for x
    x = 54,905,818.87/8,349.62
  6. Step 6: Final answer
    x = 6,575.85

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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.