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Finding the Fourth Proportional to 5,346.90, 7,963.97 and 5,107.04

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Solution

The fourth proportional to 5,346.90, 7,963.97 and 5,107.04 is: 7,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.90 : 7,963.97 = 5,107.04 : x
  2. Step 2: Convert to fraction form
    5,346.90/7,963.97 = 5,107.04/x
  3. Step 3: Cross multiply
    5,346.90x = 7,963.97 × 5,107.04
  4. Step 4: Simplify right side
    5,346.90x = 40,672,313.35
  5. Step 5: Solve for x
    x = 40,672,313.35/5,346.90
  6. Step 6: Final answer
    x = 7,606.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.