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Finding the Fourth Proportional to 7,157.77, 9,880.41 and 4,174.54

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Solution

The fourth proportional to 7,157.77, 9,880.41 and 4,174.54 is: 5,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.77 : 9,880.41 = 4,174.54 : x
  2. Step 2: Convert to fraction form
    7,157.77/9,880.41 = 4,174.54/x
  3. Step 3: Cross multiply
    7,157.77x = 9,880.41 × 4,174.54
  4. Step 4: Simplify right side
    7,157.77x = 41,246,166.76
  5. Step 5: Solve for x
    x = 41,246,166.76/7,157.77
  6. Step 6: Final answer
    x = 5,762.43

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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.