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Finding the Fourth Proportional to 11,206.70, 16,813.65 and 4,964.30

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Solution

The fourth proportional to 11,206.70, 16,813.65 and 4,964.30 is: 7,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.70 : 16,813.65 = 4,964.30 : x
  2. Step 2: Convert to fraction form
    11,206.70/16,813.65 = 4,964.30/x
  3. Step 3: Cross multiply
    11,206.70x = 16,813.65 × 4,964.30
  4. Step 4: Simplify right side
    11,206.70x = 83,468,002.70
  5. Step 5: Solve for x
    x = 83,468,002.70/11,206.70
  6. Step 6: Final answer
    x = 7,448.04

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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.