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Finding the Fourth Proportional to 6,707.64, 9,256.09 and 3,723.24

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Solution

The fourth proportional to 6,707.64, 9,256.09 and 3,723.24 is: 5,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.64 : 9,256.09 = 3,723.24 : x
  2. Step 2: Convert to fraction form
    6,707.64/9,256.09 = 3,723.24/x
  3. Step 3: Cross multiply
    6,707.64x = 9,256.09 × 3,723.24
  4. Step 4: Simplify right side
    6,707.64x = 34,462,662.95
  5. Step 5: Solve for x
    x = 34,462,662.95/6,707.64
  6. Step 6: Final answer
    x = 5,137.82

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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.