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Finding the Fourth Proportional to 6,958.34, 9,602.89 and 3,975.14

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Solution

The fourth proportional to 6,958.34, 9,602.89 and 3,975.14 is: 5,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.34 : 9,602.89 = 3,975.14 : x
  2. Step 2: Convert to fraction form
    6,958.34/9,602.89 = 3,975.14/x
  3. Step 3: Cross multiply
    6,958.34x = 9,602.89 × 3,975.14
  4. Step 4: Simplify right side
    6,958.34x = 38,172,846.22
  5. Step 5: Solve for x
    x = 38,172,846.22/6,958.34
  6. Step 6: Final answer
    x = 5,485.91

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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.