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Finding the Fourth Proportional to 11,776.05, 16,251.24 and 6,471

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Solution

The fourth proportional to 11,776.05, 16,251.24 and 6,471 is: 8,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.05 : 16,251.24 = 6,471 : x
  2. Step 2: Convert to fraction form
    11,776.05/16,251.24 = 6,471/x
  3. Step 3: Cross multiply
    11,776.05x = 16,251.24 × 6,471
  4. Step 4: Simplify right side
    11,776.05x = 105,161,774.04
  5. Step 5: Solve for x
    x = 105,161,774.04/11,776.05
  6. Step 6: Final answer
    x = 8,930.14

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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.