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Finding the Fourth Proportional to 8,233.66, 11,362.47 and 4,696.78

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Solution

The fourth proportional to 8,233.66, 11,362.47 and 4,696.78 is: 6,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.66 : 11,362.47 = 4,696.78 : x
  2. Step 2: Convert to fraction form
    8,233.66/11,362.47 = 4,696.78/x
  3. Step 3: Cross multiply
    8,233.66x = 11,362.47 × 4,696.78
  4. Step 4: Simplify right side
    8,233.66x = 53,366,941.55
  5. Step 5: Solve for x
    x = 53,366,941.55/8,233.66
  6. Step 6: Final answer
    x = 6,481.56

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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.