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Finding the Fourth Proportional to 7,171.86, 9,898.16 and 4,028.25

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Solution

The fourth proportional to 7,171.86, 9,898.16 and 4,028.25 is: 5,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.86 : 9,898.16 = 4,028.25 : x
  2. Step 2: Convert to fraction form
    7,171.86/9,898.16 = 4,028.25/x
  3. Step 3: Cross multiply
    7,171.86x = 9,898.16 × 4,028.25
  4. Step 4: Simplify right side
    7,171.86x = 39,872,242.88
  5. Step 5: Solve for x
    x = 39,872,242.88/7,171.86
  6. Step 6: Final answer
    x = 5,559.54

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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.