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Finding the Fourth Proportional to 6,889.59, 9,507.63 and 3,745.77

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Solution

The fourth proportional to 6,889.59, 9,507.63 and 3,745.77 is: 5,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.59 : 9,507.63 = 3,745.77 : x
  2. Step 2: Convert to fraction form
    6,889.59/9,507.63 = 3,745.77/x
  3. Step 3: Cross multiply
    6,889.59x = 9,507.63 × 3,745.77
  4. Step 4: Simplify right side
    6,889.59x = 35,613,395.23
  5. Step 5: Solve for x
    x = 35,613,395.23/6,889.59
  6. Step 6: Final answer
    x = 5,169.16

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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.