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Finding the Fourth Proportional to 6,705.03, 10,097.70 and 6,106.49

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Solution

The fourth proportional to 6,705.03, 10,097.70 and 6,106.49 is: 9,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.03 : 10,097.70 = 6,106.49 : x
  2. Step 2: Convert to fraction form
    6,705.03/10,097.70 = 6,106.49/x
  3. Step 3: Cross multiply
    6,705.03x = 10,097.70 × 6,106.49
  4. Step 4: Simplify right side
    6,705.03x = 61,661,453.58
  5. Step 5: Solve for x
    x = 61,661,453.58/6,705.03
  6. Step 6: Final answer
    x = 9,196.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.