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Finding the Fourth Proportional to 16,579.84, 22,880.10 and 9,127.84

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Solution

The fourth proportional to 16,579.84, 22,880.10 and 9,127.84 is: 12,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,579.84 : 22,880.10 = 9,127.84 : x
  2. Step 2: Convert to fraction form
    16,579.84/22,880.10 = 9,127.84/x
  3. Step 3: Cross multiply
    16,579.84x = 22,880.10 × 9,127.84
  4. Step 4: Simplify right side
    16,579.84x = 208,845,891.98
  5. Step 5: Solve for x
    x = 208,845,891.98/16,579.84
  6. Step 6: Final answer
    x = 12,596.38

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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.