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Finding the Fourth Proportional to 4,696.47, 6,474.96 and 4,040.37

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Solution

The fourth proportional to 4,696.47, 6,474.96 and 4,040.37 is: 5,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.47 : 6,474.96 = 4,040.37 : x
  2. Step 2: Convert to fraction form
    4,696.47/6,474.96 = 4,040.37/x
  3. Step 3: Cross multiply
    4,696.47x = 6,474.96 × 4,040.37
  4. Step 4: Simplify right side
    4,696.47x = 26,161,234.14
  5. Step 5: Solve for x
    x = 26,161,234.14/4,696.47
  6. Step 6: Final answer
    x = 5,570.40

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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.