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Finding the Fourth Proportional to 6,958.27, 9,602.40 and 3,814.48

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Solution

The fourth proportional to 6,958.27, 9,602.40 and 3,814.48 is: 5,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.27 : 9,602.40 = 3,814.48 : x
  2. Step 2: Convert to fraction form
    6,958.27/9,602.40 = 3,814.48/x
  3. Step 3: Cross multiply
    6,958.27x = 9,602.40 × 3,814.48
  4. Step 4: Simplify right side
    6,958.27x = 36,628,162.75
  5. Step 5: Solve for x
    x = 36,628,162.75/6,958.27
  6. Step 6: Final answer
    x = 5,263.98

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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.