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Finding the Fourth Proportional to 6,469.94, 8,916.68 and 4,698.47

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Solution

The fourth proportional to 6,469.94, 8,916.68 and 4,698.47 is: 6,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.94 : 8,916.68 = 4,698.47 : x
  2. Step 2: Convert to fraction form
    6,469.94/8,916.68 = 4,698.47/x
  3. Step 3: Cross multiply
    6,469.94x = 8,916.68 × 4,698.47
  4. Step 4: Simplify right side
    6,469.94x = 41,894,729.99
  5. Step 5: Solve for x
    x = 41,894,729.99/6,469.94
  6. Step 6: Final answer
    x = 6,475.29

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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.