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Finding the Fourth Proportional to 7,537, 10,401.08 and 4,225

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Solution

The fourth proportional to 7,537, 10,401.08 and 4,225 is: 5,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537 : 10,401.08 = 4,225 : x
  2. Step 2: Convert to fraction form
    7,537/10,401.08 = 4,225/x
  3. Step 3: Cross multiply
    7,537x = 10,401.08 × 4,225
  4. Step 4: Simplify right side
    7,537x = 43,944,563
  5. Step 5: Solve for x
    x = 43,944,563/7,537
  6. Step 6: Final answer
    x = 5,830.51

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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.