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Finding the Fourth Proportional to 10,666.70, 16,000.46 and 4,093.55

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Solution

The fourth proportional to 10,666.70, 16,000.46 and 4,093.55 is: 6,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.70 : 16,000.46 = 4,093.55 : x
  2. Step 2: Convert to fraction form
    10,666.70/16,000.46 = 4,093.55/x
  3. Step 3: Cross multiply
    10,666.70x = 16,000.46 × 4,093.55
  4. Step 4: Simplify right side
    10,666.70x = 65,498,662.57
  5. Step 5: Solve for x
    x = 65,498,662.57/10,666.70
  6. Step 6: Final answer
    x = 6,140.48

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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.