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Finding the Fourth Proportional to 12,784.76, 17,642.96 and 7,195.88

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Solution

The fourth proportional to 12,784.76, 17,642.96 and 7,195.88 is: 9,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.76 : 17,642.96 = 7,195.88 : x
  2. Step 2: Convert to fraction form
    12,784.76/17,642.96 = 7,195.88/x
  3. Step 3: Cross multiply
    12,784.76x = 17,642.96 × 7,195.88
  4. Step 4: Simplify right side
    12,784.76x = 126,956,623.00
  5. Step 5: Solve for x
    x = 126,956,623.00/12,784.76
  6. Step 6: Final answer
    x = 9,930.31

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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.