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Finding the Fourth Proportional to 6,817.36, 9,426.36 and 6,502

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Solution

The fourth proportional to 6,817.36, 9,426.36 and 6,502 is: 8,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.36 : 9,426.36 = 6,502 : x
  2. Step 2: Convert to fraction form
    6,817.36/9,426.36 = 6,502/x
  3. Step 3: Cross multiply
    6,817.36x = 9,426.36 × 6,502
  4. Step 4: Simplify right side
    6,817.36x = 61,290,192.72
  5. Step 5: Solve for x
    x = 61,290,192.72/6,817.36
  6. Step 6: Final answer
    x = 8,990.31

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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.