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Finding the Fourth Proportional to 8,166.65, 12,257.08 and 4,663.67

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Solution

The fourth proportional to 8,166.65, 12,257.08 and 4,663.67 is: 6,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.65 : 12,257.08 = 4,663.67 : x
  2. Step 2: Convert to fraction form
    8,166.65/12,257.08 = 4,663.67/x
  3. Step 3: Cross multiply
    8,166.65x = 12,257.08 × 4,663.67
  4. Step 4: Simplify right side
    8,166.65x = 57,162,915.00
  5. Step 5: Solve for x
    x = 57,162,915.00/8,166.65
  6. Step 6: Final answer
    x = 6,999.56

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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.