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Finding the Fourth Proportional to 6,957.96, 9,601.98 and 3,814.20

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Solution

The fourth proportional to 6,957.96, 9,601.98 and 3,814.20 is: 5,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.96 : 9,601.98 = 3,814.20 : x
  2. Step 2: Convert to fraction form
    6,957.96/9,601.98 = 3,814.20/x
  3. Step 3: Cross multiply
    6,957.96x = 9,601.98 × 3,814.20
  4. Step 4: Simplify right side
    6,957.96x = 36,623,872.12
  5. Step 5: Solve for x
    x = 36,623,872.12/6,957.96
  6. Step 6: Final answer
    x = 5,263.59

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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.