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Finding the Fourth Proportional to 4,969.96, 7,463.14 and 4,494.29

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Solution

The fourth proportional to 4,969.96, 7,463.14 and 4,494.29 is: 6,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.96 : 7,463.14 = 4,494.29 : x
  2. Step 2: Convert to fraction form
    4,969.96/7,463.14 = 4,494.29/x
  3. Step 3: Cross multiply
    4,969.96x = 7,463.14 × 4,494.29
  4. Step 4: Simplify right side
    4,969.96x = 33,541,466.92
  5. Step 5: Solve for x
    x = 33,541,466.92/4,969.96
  6. Step 6: Final answer
    x = 6,748.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.