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Finding the Fourth Proportional to 14,741, 20,359.86 and 9,764.36

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Solution

The fourth proportional to 14,741, 20,359.86 and 9,764.36 is: 13,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741 : 20,359.86 = 9,764.36 : x
  2. Step 2: Convert to fraction form
    14,741/20,359.86 = 9,764.36/x
  3. Step 3: Cross multiply
    14,741x = 20,359.86 × 9,764.36
  4. Step 4: Simplify right side
    14,741x = 198,801,002.59
  5. Step 5: Solve for x
    x = 198,801,002.59/14,741
  6. Step 6: Final answer
    x = 13,486.26

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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.