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Finding the Fourth Proportional to 14,159.86, 19,540.67 and 7,786.86

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Solution

The fourth proportional to 14,159.86, 19,540.67 and 7,786.86 is: 10,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.86 : 19,540.67 = 7,786.86 : x
  2. Step 2: Convert to fraction form
    14,159.86/19,540.67 = 7,786.86/x
  3. Step 3: Cross multiply
    14,159.86x = 19,540.67 × 7,786.86
  4. Step 4: Simplify right side
    14,159.86x = 152,160,461.60
  5. Step 5: Solve for x
    x = 152,160,461.60/14,159.86
  6. Step 6: Final answer
    x = 10,745.90

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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.