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Finding the Fourth Proportional to 14,606.76, 21,891.90 and 6,277

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Solution

The fourth proportional to 14,606.76, 21,891.90 and 6,277 is: 9,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.76 : 21,891.90 = 6,277 : x
  2. Step 2: Convert to fraction form
    14,606.76/21,891.90 = 6,277/x
  3. Step 3: Cross multiply
    14,606.76x = 21,891.90 × 6,277
  4. Step 4: Simplify right side
    14,606.76x = 137,415,456.30
  5. Step 5: Solve for x
    x = 137,415,456.30/14,606.76
  6. Step 6: Final answer
    x = 9,407.66

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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.