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Finding the Fourth Proportional to 14,903.63, 20,567.46 and 8,189.46

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Solution

The fourth proportional to 14,903.63, 20,567.46 and 8,189.46 is: 11,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.63 : 20,567.46 = 8,189.46 : x
  2. Step 2: Convert to fraction form
    14,903.63/20,567.46 = 8,189.46/x
  3. Step 3: Cross multiply
    14,903.63x = 20,567.46 × 8,189.46
  4. Step 4: Simplify right side
    14,903.63x = 168,436,390.97
  5. Step 5: Solve for x
    x = 168,436,390.97/14,903.63
  6. Step 6: Final answer
    x = 11,301.71

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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.