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Finding the Fourth Proportional to 8,441, 11,648.58 and 4,715

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Solution

The fourth proportional to 8,441, 11,648.58 and 4,715 is: 6,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441 : 11,648.58 = 4,715 : x
  2. Step 2: Convert to fraction form
    8,441/11,648.58 = 4,715/x
  3. Step 3: Cross multiply
    8,441x = 11,648.58 × 4,715
  4. Step 4: Simplify right side
    8,441x = 54,923,054.70
  5. Step 5: Solve for x
    x = 54,923,054.70/8,441
  6. Step 6: Final answer
    x = 6,506.70

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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.