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Finding the Fourth Proportional to 14,546.70, 21,829.05 and 5,780.70

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Solution

The fourth proportional to 14,546.70, 21,829.05 and 5,780.70 is: 8,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.70 : 21,829.05 = 5,780.70 : x
  2. Step 2: Convert to fraction form
    14,546.70/21,829.05 = 5,780.70/x
  3. Step 3: Cross multiply
    14,546.70x = 21,829.05 × 5,780.70
  4. Step 4: Simplify right side
    14,546.70x = 126,187,189.34
  5. Step 5: Solve for x
    x = 126,187,189.34/14,546.70
  6. Step 6: Final answer
    x = 8,674.63

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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.