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Finding the Fourth Proportional to 6,482, 9,725.88 and 3,022.16

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Solution

The fourth proportional to 6,482, 9,725.88 and 3,022.16 is: 4,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482 : 9,725.88 = 3,022.16 : x
  2. Step 2: Convert to fraction form
    6,482/9,725.88 = 3,022.16/x
  3. Step 3: Cross multiply
    6,482x = 9,725.88 × 3,022.16
  4. Step 4: Simplify right side
    6,482x = 29,393,165.50
  5. Step 5: Solve for x
    x = 29,393,165.50/6,482
  6. Step 6: Final answer
    x = 4,534.58

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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.