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Finding the Fourth Proportional to 16,653.68, 24,978.36 and 7,894.16

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Solution

The fourth proportional to 16,653.68, 24,978.36 and 7,894.16 is: 11,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,653.68 : 24,978.36 = 7,894.16 : x
  2. Step 2: Convert to fraction form
    16,653.68/24,978.36 = 7,894.16/x
  3. Step 3: Cross multiply
    16,653.68x = 24,978.36 × 7,894.16
  4. Step 4: Simplify right side
    16,653.68x = 197,183,170.38
  5. Step 5: Solve for x
    x = 197,183,170.38/16,653.68
  6. Step 6: Final answer
    x = 11,840.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.