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Finding the Fourth Proportional to 6,116.20, 9,170.93 and 1,955.05

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Solution

The fourth proportional to 6,116.20, 9,170.93 and 1,955.05 is: 2,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.20 : 9,170.93 = 1,955.05 : x
  2. Step 2: Convert to fraction form
    6,116.20/9,170.93 = 1,955.05/x
  3. Step 3: Cross multiply
    6,116.20x = 9,170.93 × 1,955.05
  4. Step 4: Simplify right side
    6,116.20x = 17,929,616.92
  5. Step 5: Solve for x
    x = 17,929,616.92/6,116.20
  6. Step 6: Final answer
    x = 2,931.50

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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.