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Finding the Fourth Proportional to 6,465.63, 9,702.69 and 3,546

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Solution

The fourth proportional to 6,465.63, 9,702.69 and 3,546 is: 5,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.63 : 9,702.69 = 3,546 : x
  2. Step 2: Convert to fraction form
    6,465.63/9,702.69 = 3,546/x
  3. Step 3: Cross multiply
    6,465.63x = 9,702.69 × 3,546
  4. Step 4: Simplify right side
    6,465.63x = 34,405,738.74
  5. Step 5: Solve for x
    x = 34,405,738.74/6,465.63
  6. Step 6: Final answer
    x = 5,321.33

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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.