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Finding the Fourth Proportional to 11,924, 16,452.68 and 6,617.68

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Solution

The fourth proportional to 11,924, 16,452.68 and 6,617.68 is: 9,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924 : 16,452.68 = 6,617.68 : x
  2. Step 2: Convert to fraction form
    11,924/16,452.68 = 6,617.68/x
  3. Step 3: Cross multiply
    11,924x = 16,452.68 × 6,617.68
  4. Step 4: Simplify right side
    11,924x = 108,878,571.38
  5. Step 5: Solve for x
    x = 108,878,571.38/11,924
  6. Step 6: Final answer
    x = 9,131.04

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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.