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Finding the Fourth Proportional to 6,116.82, 9,175.08 and 1,957.08

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Solution

The fourth proportional to 6,116.82, 9,175.08 and 1,957.08 is: 2,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.82 : 9,175.08 = 1,957.08 : x
  2. Step 2: Convert to fraction form
    6,116.82/9,175.08 = 1,957.08/x
  3. Step 3: Cross multiply
    6,116.82x = 9,175.08 × 1,957.08
  4. Step 4: Simplify right side
    6,116.82x = 17,956,365.57
  5. Step 5: Solve for x
    x = 17,956,365.57/6,116.82
  6. Step 6: Final answer
    x = 2,935.57

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1.5x scale

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.