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Finding the Fourth Proportional to 14,303.34, 19,738.67 and 7,930.98

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Solution

The fourth proportional to 14,303.34, 19,738.67 and 7,930.98 is: 10,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,303.34 : 19,738.67 = 7,930.98 : x
  2. Step 2: Convert to fraction form
    14,303.34/19,738.67 = 7,930.98/x
  3. Step 3: Cross multiply
    14,303.34x = 19,738.67 × 7,930.98
  4. Step 4: Simplify right side
    14,303.34x = 156,546,957.34
  5. Step 5: Solve for x
    x = 156,546,957.34/14,303.34
  6. Step 6: Final answer
    x = 10,944.78

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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.