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Finding the Fourth Proportional to 13,461.14, 18,576.98 and 7,796.14

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Solution

The fourth proportional to 13,461.14, 18,576.98 and 7,796.14 is: 10,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.14 : 18,576.98 = 7,796.14 : x
  2. Step 2: Convert to fraction form
    13,461.14/18,576.98 = 7,796.14/x
  3. Step 3: Cross multiply
    13,461.14x = 18,576.98 × 7,796.14
  4. Step 4: Simplify right side
    13,461.14x = 144,828,736.86
  5. Step 5: Solve for x
    x = 144,828,736.86/13,461.14
  6. Step 6: Final answer
    x = 10,759.02

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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.