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Finding the Fourth Proportional to 6,316.46, 9,472.98 and 3,850.82

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Solution

The fourth proportional to 6,316.46, 9,472.98 and 3,850.82 is: 5,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.46 : 9,472.98 = 3,850.82 : x
  2. Step 2: Convert to fraction form
    6,316.46/9,472.98 = 3,850.82/x
  3. Step 3: Cross multiply
    6,316.46x = 9,472.98 × 3,850.82
  4. Step 4: Simplify right side
    6,316.46x = 36,478,740.84
  5. Step 5: Solve for x
    x = 36,478,740.84/6,316.46
  6. Step 6: Final answer
    x = 5,775.19

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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.