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Finding the Fourth Proportional to 11,807.10, 17,717.05 and 5,234.30

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Solution

The fourth proportional to 11,807.10, 17,717.05 and 5,234.30 is: 7,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.10 : 17,717.05 = 5,234.30 : x
  2. Step 2: Convert to fraction form
    11,807.10/17,717.05 = 5,234.30/x
  3. Step 3: Cross multiply
    11,807.10x = 17,717.05 × 5,234.30
  4. Step 4: Simplify right side
    11,807.10x = 92,736,354.82
  5. Step 5: Solve for x
    x = 92,736,354.82/11,807.10
  6. Step 6: Final answer
    x = 7,854.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.