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Finding the Fourth Proportional to 9,153, 13,716.54 and 4,469.58

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Solution

The fourth proportional to 9,153, 13,716.54 and 4,469.58 is: 6,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153 : 13,716.54 = 4,469.58 : x
  2. Step 2: Convert to fraction form
    9,153/13,716.54 = 4,469.58/x
  3. Step 3: Cross multiply
    9,153x = 13,716.54 × 4,469.58
  4. Step 4: Simplify right side
    9,153x = 61,307,172.85
  5. Step 5: Solve for x
    x = 61,307,172.85/9,153
  6. Step 6: Final answer
    x = 6,698.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.