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Finding the Fourth Proportional to 8,113, 11,197.56 and 4,576.27

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Solution

The fourth proportional to 8,113, 11,197.56 and 4,576.27 is: 6,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113 : 11,197.56 = 4,576.27 : x
  2. Step 2: Convert to fraction form
    8,113/11,197.56 = 4,576.27/x
  3. Step 3: Cross multiply
    8,113x = 11,197.56 × 4,576.27
  4. Step 4: Simplify right side
    8,113x = 51,243,057.90
  5. Step 5: Solve for x
    x = 51,243,057.90/8,113
  6. Step 6: Final answer
    x = 6,316.17

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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.