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Finding the Fourth Proportional to 4,113, 5,663.46 and 3,522.36

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Solution

The fourth proportional to 4,113, 5,663.46 and 3,522.36 is: 4,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 5,663.46 = 3,522.36 : x
  2. Step 2: Convert to fraction form
    4,113/5,663.46 = 3,522.36/x
  3. Step 3: Cross multiply
    4,113x = 5,663.46 × 3,522.36
  4. Step 4: Simplify right side
    4,113x = 19,948,744.97
  5. Step 5: Solve for x
    x = 19,948,744.97/4,113
  6. Step 6: Final answer
    x = 4,850.17

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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.