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Finding the Fourth Proportional to 11,925, 16,454.06 and 6,618.68

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Solution

The fourth proportional to 11,925, 16,454.06 and 6,618.68 is: 9,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925 : 16,454.06 = 6,618.68 : x
  2. Step 2: Convert to fraction form
    11,925/16,454.06 = 6,618.68/x
  3. Step 3: Cross multiply
    11,925x = 16,454.06 × 6,618.68
  4. Step 4: Simplify right side
    11,925x = 108,904,157.84
  5. Step 5: Solve for x
    x = 108,904,157.84/11,925
  6. Step 6: Final answer
    x = 9,132.42

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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.