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Finding the Fourth Proportional to 11,234.14, 16,846.00 and 6,555.50

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Solution

The fourth proportional to 11,234.14, 16,846.00 and 6,555.50 is: 9,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.14 : 16,846.00 = 6,555.50 : x
  2. Step 2: Convert to fraction form
    11,234.14/16,846.00 = 6,555.50/x
  3. Step 3: Cross multiply
    11,234.14x = 16,846.00 × 6,555.50
  4. Step 4: Simplify right side
    11,234.14x = 110,433,852.38
  5. Step 5: Solve for x
    x = 110,433,852.38/11,234.14
  6. Step 6: Final answer
    x = 9,830.20

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1.5x scale

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.