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Finding the Fourth Proportional to 11,254, 16,881.84 and 4,328.50

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Solution

The fourth proportional to 11,254, 16,881.84 and 4,328.50 is: 6,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254 : 16,881.84 = 4,328.50 : x
  2. Step 2: Convert to fraction form
    11,254/16,881.84 = 4,328.50/x
  3. Step 3: Cross multiply
    11,254x = 16,881.84 × 4,328.50
  4. Step 4: Simplify right side
    11,254x = 73,073,044.44
  5. Step 5: Solve for x
    x = 73,073,044.44/11,254
  6. Step 6: Final answer
    x = 6,493.07

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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.