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Finding the Fourth Proportional to 14,142.70, 21,200.10 and 7,905.70

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Solution

The fourth proportional to 14,142.70, 21,200.10 and 7,905.70 is: 11,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.70 : 21,200.10 = 7,905.70 : x
  2. Step 2: Convert to fraction form
    14,142.70/21,200.10 = 7,905.70/x
  3. Step 3: Cross multiply
    14,142.70x = 21,200.10 × 7,905.70
  4. Step 4: Simplify right side
    14,142.70x = 167,601,630.57
  5. Step 5: Solve for x
    x = 167,601,630.57/14,142.70
  6. Step 6: Final answer
    x = 11,850.75

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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.