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Finding the Fourth Proportional to 7,771.33, 11,638.77 and 6,837.00

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Solution

The fourth proportional to 7,771.33, 11,638.77 and 6,837.00 is: 10,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.33 : 11,638.77 = 6,837.00 : x
  2. Step 2: Convert to fraction form
    7,771.33/11,638.77 = 6,837.00/x
  3. Step 3: Cross multiply
    7,771.33x = 11,638.77 × 6,837.00
  4. Step 4: Simplify right side
    7,771.33x = 79,574,212.30
  5. Step 5: Solve for x
    x = 79,574,212.30/7,771.33
  6. Step 6: Final answer
    x = 10,239.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.