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Finding the Fourth Proportional to 6,903, 9,527.04 and 4,108.50

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Solution

The fourth proportional to 6,903, 9,527.04 and 4,108.50 is: 5,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 9,527.04 = 4,108.50 : x
  2. Step 2: Convert to fraction form
    6,903/9,527.04 = 4,108.50/x
  3. Step 3: Cross multiply
    6,903x = 9,527.04 × 4,108.50
  4. Step 4: Simplify right side
    6,903x = 39,141,843.84
  5. Step 5: Solve for x
    x = 39,141,843.84/6,903
  6. Step 6: Final answer
    x = 5,670.27

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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.