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Finding the Fourth Proportional to 14,209.73, 19,609.19 and 7,836.94

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Solution

The fourth proportional to 14,209.73, 19,609.19 and 7,836.94 is: 10,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.73 : 19,609.19 = 7,836.94 : x
  2. Step 2: Convert to fraction form
    14,209.73/19,609.19 = 7,836.94/x
  3. Step 3: Cross multiply
    14,209.73x = 19,609.19 × 7,836.94
  4. Step 4: Simplify right side
    14,209.73x = 153,675,939.55
  5. Step 5: Solve for x
    x = 153,675,939.55/14,209.73
  6. Step 6: Final answer
    x = 10,814.84

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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.