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Finding the Fourth Proportional to 10,099.65, 15,150.20 and 3,174.69

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Solution

The fourth proportional to 10,099.65, 15,150.20 and 3,174.69 is: 4,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.65 : 15,150.20 = 3,174.69 : x
  2. Step 2: Convert to fraction form
    10,099.65/15,150.20 = 3,174.69/x
  3. Step 3: Cross multiply
    10,099.65x = 15,150.20 × 3,174.69
  4. Step 4: Simplify right side
    10,099.65x = 48,097,188.44
  5. Step 5: Solve for x
    x = 48,097,188.44/10,099.65
  6. Step 6: Final answer
    x = 4,762.26

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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.