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Finding the Fourth Proportional to 6,903, 9,516.42 and 4,918.50

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Solution

The fourth proportional to 6,903, 9,516.42 and 4,918.50 is: 6,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 9,516.42 = 4,918.50 : x
  2. Step 2: Convert to fraction form
    6,903/9,516.42 = 4,918.50/x
  3. Step 3: Cross multiply
    6,903x = 9,516.42 × 4,918.50
  4. Step 4: Simplify right side
    6,903x = 46,806,511.77
  5. Step 5: Solve for x
    x = 46,806,511.77/6,903
  6. Step 6: Final answer
    x = 6,780.60

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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.