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Finding the Fourth Proportional to 7,537.16, 10,401 and 4,180.02

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Solution

The fourth proportional to 7,537.16, 10,401 and 4,180.02 is: 5,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.16 : 10,401 = 4,180.02 : x
  2. Step 2: Convert to fraction form
    7,537.16/10,401 = 4,180.02/x
  3. Step 3: Cross multiply
    7,537.16x = 10,401 × 4,180.02
  4. Step 4: Simplify right side
    7,537.16x = 43,476,388.02
  5. Step 5: Solve for x
    x = 43,476,388.02/7,537.16
  6. Step 6: Final answer
    x = 5,768.27

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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.