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Finding the Fourth Proportional to 7,673.75, 10,543.87 and 6,099.11

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Solution

The fourth proportional to 7,673.75, 10,543.87 and 6,099.11 is: 8,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.75 : 10,543.87 = 6,099.11 : x
  2. Step 2: Convert to fraction form
    7,673.75/10,543.87 = 6,099.11/x
  3. Step 3: Cross multiply
    7,673.75x = 10,543.87 × 6,099.11
  4. Step 4: Simplify right side
    7,673.75x = 64,308,222.96
  5. Step 5: Solve for x
    x = 64,308,222.96/7,673.75
  6. Step 6: Final answer
    x = 8,380.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.