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Finding the Fourth Proportional to 14,034.70, 19,367.94 and 7,661.34

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Solution

The fourth proportional to 14,034.70, 19,367.94 and 7,661.34 is: 10,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.70 : 19,367.94 = 7,661.34 : x
  2. Step 2: Convert to fraction form
    14,034.70/19,367.94 = 7,661.34/x
  3. Step 3: Cross multiply
    14,034.70x = 19,367.94 × 7,661.34
  4. Step 4: Simplify right side
    14,034.70x = 148,384,373.44
  5. Step 5: Solve for x
    x = 148,384,373.44/14,034.70
  6. Step 6: Final answer
    x = 10,572.68

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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.