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Finding the Fourth Proportional to 8,500, 11,730.56 and 4,774

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Solution

The fourth proportional to 8,500, 11,730.56 and 4,774 is: 6,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500 : 11,730.56 = 4,774 : x
  2. Step 2: Convert to fraction form
    8,500/11,730.56 = 4,774/x
  3. Step 3: Cross multiply
    8,500x = 11,730.56 × 4,774
  4. Step 4: Simplify right side
    8,500x = 56,001,693.44
  5. Step 5: Solve for x
    x = 56,001,693.44/8,500
  6. Step 6: Final answer
    x = 6,588.43

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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.