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Finding the Fourth Proportional to 11,206.50, 15,466.05 and 6,238.50

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Solution

The fourth proportional to 11,206.50, 15,466.05 and 6,238.50 is: 8,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.50 : 15,466.05 = 6,238.50 : x
  2. Step 2: Convert to fraction form
    11,206.50/15,466.05 = 6,238.50/x
  3. Step 3: Cross multiply
    11,206.50x = 15,466.05 × 6,238.50
  4. Step 4: Simplify right side
    11,206.50x = 96,484,952.93
  5. Step 5: Solve for x
    x = 96,484,952.93/11,206.50
  6. Step 6: Final answer
    x = 8,609.73

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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.