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Finding the Fourth Proportional to 6,961.52, 9,607.01 and 3,817.50

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Solution

The fourth proportional to 6,961.52, 9,607.01 and 3,817.50 is: 5,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.52 : 9,607.01 = 3,817.50 : x
  2. Step 2: Convert to fraction form
    6,961.52/9,607.01 = 3,817.50/x
  3. Step 3: Cross multiply
    6,961.52x = 9,607.01 × 3,817.50
  4. Step 4: Simplify right side
    6,961.52x = 36,674,741.59
  5. Step 5: Solve for x
    x = 36,674,741.59/6,961.52
  6. Step 6: Final answer
    x = 5,268.21

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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.