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Finding the Fourth Proportional to 6,818.56, 9,409.71 and 4,024.06

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Solution

The fourth proportional to 6,818.56, 9,409.71 and 4,024.06 is: 5,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.56 : 9,409.71 = 4,024.06 : x
  2. Step 2: Convert to fraction form
    6,818.56/9,409.71 = 4,024.06/x
  3. Step 3: Cross multiply
    6,818.56x = 9,409.71 × 4,024.06
  4. Step 4: Simplify right side
    6,818.56x = 37,865,237.62
  5. Step 5: Solve for x
    x = 37,865,237.62/6,818.56
  6. Step 6: Final answer
    x = 5,553.26

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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.