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Finding the Fourth Proportional to 6,958.04, 9,602.04 and 3,814.22

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Solution

The fourth proportional to 6,958.04, 9,602.04 and 3,814.22 is: 5,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.04 : 9,602.04 = 3,814.22 : x
  2. Step 2: Convert to fraction form
    6,958.04/9,602.04 = 3,814.22/x
  3. Step 3: Cross multiply
    6,958.04x = 9,602.04 × 3,814.22
  4. Step 4: Simplify right side
    6,958.04x = 36,624,293.01
  5. Step 5: Solve for x
    x = 36,624,293.01/6,958.04
  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.