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Finding the Fourth Proportional to 10,846.81, 14,977.08 and 8,324.92

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Solution

The fourth proportional to 10,846.81, 14,977.08 and 8,324.92 is: 11,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.81 : 14,977.08 = 8,324.92 : x
  2. Step 2: Convert to fraction form
    10,846.81/14,977.08 = 8,324.92/x
  3. Step 3: Cross multiply
    10,846.81x = 14,977.08 × 8,324.92
  4. Step 4: Simplify right side
    10,846.81x = 124,682,992.83
  5. Step 5: Solve for x
    x = 124,682,992.83/10,846.81
  6. Step 6: Final answer
    x = 11,494.90

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Half scale
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Double scale
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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.