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Finding the Fourth Proportional to 8,425, 11,626.86 and 4,699

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Solution

The fourth proportional to 8,425, 11,626.86 and 4,699 is: 6,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425 : 11,626.86 = 4,699 : x
  2. Step 2: Convert to fraction form
    8,425/11,626.86 = 4,699/x
  3. Step 3: Cross multiply
    8,425x = 11,626.86 × 4,699
  4. Step 4: Simplify right side
    8,425x = 54,634,615.14
  5. Step 5: Solve for x
    x = 54,634,615.14/8,425
  6. Step 6: Final answer
    x = 6,484.82

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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.