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Finding the Fourth Proportional to 6,684.56, 9,224.29 and 3,700.21

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Solution

The fourth proportional to 6,684.56, 9,224.29 and 3,700.21 is: 5,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.56 : 9,224.29 = 3,700.21 : x
  2. Step 2: Convert to fraction form
    6,684.56/9,224.29 = 3,700.21/x
  3. Step 3: Cross multiply
    6,684.56x = 9,224.29 × 3,700.21
  4. Step 4: Simplify right side
    6,684.56x = 34,131,810.10
  5. Step 5: Solve for x
    x = 34,131,810.10/6,684.56
  6. Step 6: Final answer
    x = 5,106.07

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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.