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Finding the Fourth Proportional to 6,782.67, 9,363.49 and 4,266.18

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Solution

The fourth proportional to 6,782.67, 9,363.49 and 4,266.18 is: 5,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.67 : 9,363.49 = 4,266.18 : x
  2. Step 2: Convert to fraction form
    6,782.67/9,363.49 = 4,266.18/x
  3. Step 3: Cross multiply
    6,782.67x = 9,363.49 × 4,266.18
  4. Step 4: Simplify right side
    6,782.67x = 39,946,323.10
  5. Step 5: Solve for x
    x = 39,946,323.10/6,782.67
  6. Step 6: Final answer
    x = 5,889.47

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1.5x scale

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.