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Finding the Fourth Proportional to 16,274.75, 22,459.16 and 8,822.75

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Solution

The fourth proportional to 16,274.75, 22,459.16 and 8,822.75 is: 12,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.75 : 22,459.16 = 8,822.75 : x
  2. Step 2: Convert to fraction form
    16,274.75/22,459.16 = 8,822.75/x
  3. Step 3: Cross multiply
    16,274.75x = 22,459.16 × 8,822.75
  4. Step 4: Simplify right side
    16,274.75x = 198,151,509.78
  5. Step 5: Solve for x
    x = 198,151,509.78/16,274.75
  6. Step 6: Final answer
    x = 12,175.40

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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.