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Finding the Fourth Proportional to 4,907.88, 6,769.48 and 4,098.06

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Solution

The fourth proportional to 4,907.88, 6,769.48 and 4,098.06 is: 5,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.88 : 6,769.48 = 4,098.06 : x
  2. Step 2: Convert to fraction form
    4,907.88/6,769.48 = 4,098.06/x
  3. Step 3: Cross multiply
    4,907.88x = 6,769.48 × 4,098.06
  4. Step 4: Simplify right side
    4,907.88x = 27,741,735.21
  5. Step 5: Solve for x
    x = 27,741,735.21/4,907.88
  6. Step 6: Final answer
    x = 5,652.49

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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.