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Finding the Fourth Proportional to 6,958.04, 9,602.10 and 3,814.28

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Solution

The fourth proportional to 6,958.04, 9,602.10 and 3,814.28 is: 5,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.04 : 9,602.10 = 3,814.28 : x
  2. Step 2: Convert to fraction form
    6,958.04/9,602.10 = 3,814.28/x
  3. Step 3: Cross multiply
    6,958.04x = 9,602.10 × 3,814.28
  4. Step 4: Simplify right side
    6,958.04x = 36,625,097.99
  5. Step 5: Solve for x
    x = 36,625,097.99/6,958.04
  6. Step 6: Final answer
    x = 5,263.71

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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.