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Finding the Fourth Proportional to 4,977.34, 7,460.76 and 2,506.97

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Solution

The fourth proportional to 4,977.34, 7,460.76 and 2,506.97 is: 3,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.34 : 7,460.76 = 2,506.97 : x
  2. Step 2: Convert to fraction form
    4,977.34/7,460.76 = 2,506.97/x
  3. Step 3: Cross multiply
    4,977.34x = 7,460.76 × 2,506.97
  4. Step 4: Simplify right side
    4,977.34x = 18,703,873.59
  5. Step 5: Solve for x
    x = 18,703,873.59/4,977.34
  6. Step 6: Final answer
    x = 3,757.81

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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.