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Finding the Fourth Proportional to 6,627.57, 9,146.70 and 3,795.36

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Solution

The fourth proportional to 6,627.57, 9,146.70 and 3,795.36 is: 5,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.57 : 9,146.70 = 3,795.36 : x
  2. Step 2: Convert to fraction form
    6,627.57/9,146.70 = 3,795.36/x
  3. Step 3: Cross multiply
    6,627.57x = 9,146.70 × 3,795.36
  4. Step 4: Simplify right side
    6,627.57x = 34,715,019.31
  5. Step 5: Solve for x
    x = 34,715,019.31/6,627.57
  6. Step 6: Final answer
    x = 5,237.97

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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.