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Finding the Fourth Proportional to 6,070, 9,106.44 and 1,966

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Solution

The fourth proportional to 6,070, 9,106.44 and 1,966 is: 2,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070 : 9,106.44 = 1,966 : x
  2. Step 2: Convert to fraction form
    6,070/9,106.44 = 1,966/x
  3. Step 3: Cross multiply
    6,070x = 9,106.44 × 1,966
  4. Step 4: Simplify right side
    6,070x = 17,903,261.04
  5. Step 5: Solve for x
    x = 17,903,261.04/6,070
  6. Step 6: Final answer
    x = 2,949.47

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