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Finding the Fourth Proportional to 10,773.60, 16,174.80 and 8,584.80

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Solution

The fourth proportional to 10,773.60, 16,174.80 and 8,584.80 is: 12,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.60 : 16,174.80 = 8,584.80 : x
  2. Step 2: Convert to fraction form
    10,773.60/16,174.80 = 8,584.80/x
  3. Step 3: Cross multiply
    10,773.60x = 16,174.80 × 8,584.80
  4. Step 4: Simplify right side
    10,773.60x = 138,857,423.04
  5. Step 5: Solve for x
    x = 138,857,423.04/10,773.60
  6. Step 6: Final answer
    x = 12,888.67

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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.