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Finding the Fourth Proportional to 6,120.15, 9,175.74 and 1,957.77

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Solution

The fourth proportional to 6,120.15, 9,175.74 and 1,957.77 is: 2,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.15 : 9,175.74 = 1,957.77 : x
  2. Step 2: Convert to fraction form
    6,120.15/9,175.74 = 1,957.77/x
  3. Step 3: Cross multiply
    6,120.15x = 9,175.74 × 1,957.77
  4. Step 4: Simplify right side
    6,120.15x = 17,963,988.50
  5. Step 5: Solve for x
    x = 17,963,988.50/6,120.15
  6. Step 6: Final answer
    x = 2,935.22

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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.