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Finding the Fourth Proportional to 6,957.85, 9,601.80 and 3,974.62

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Solution

The fourth proportional to 6,957.85, 9,601.80 and 3,974.62 is: 5,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.85 : 9,601.80 = 3,974.62 : x
  2. Step 2: Convert to fraction form
    6,957.85/9,601.80 = 3,974.62/x
  3. Step 3: Cross multiply
    6,957.85x = 9,601.80 × 3,974.62
  4. Step 4: Simplify right side
    6,957.85x = 38,163,506.32
  5. Step 5: Solve for x
    x = 38,163,506.32/6,957.85
  6. Step 6: Final answer
    x = 5,484.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.