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Finding the Fourth Proportional to 10,807.80, 16,199.70 and 4,231.80

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Solution

The fourth proportional to 10,807.80, 16,199.70 and 4,231.80 is: 6,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.80 : 16,199.70 = 4,231.80 : x
  2. Step 2: Convert to fraction form
    10,807.80/16,199.70 = 4,231.80/x
  3. Step 3: Cross multiply
    10,807.80x = 16,199.70 × 4,231.80
  4. Step 4: Simplify right side
    10,807.80x = 68,553,890.46
  5. Step 5: Solve for x
    x = 68,553,890.46/10,807.80
  6. Step 6: Final answer
    x = 6,343.00

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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.