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Finding the Fourth Proportional to 13,237.68, 18,268.43 and 7,648.68

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Solution

The fourth proportional to 13,237.68, 18,268.43 and 7,648.68 is: 10,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.68 : 18,268.43 = 7,648.68 : x
  2. Step 2: Convert to fraction form
    13,237.68/18,268.43 = 7,648.68/x
  3. Step 3: Cross multiply
    13,237.68x = 18,268.43 × 7,648.68
  4. Step 4: Simplify right side
    13,237.68x = 139,729,336.93
  5. Step 5: Solve for x
    x = 139,729,336.93/13,237.68
  6. Step 6: Final answer
    x = 10,555.42

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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.