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Finding the Fourth Proportional to 4,751.70, 7,133.40 and 2,996.70

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Solution

The fourth proportional to 4,751.70, 7,133.40 and 2,996.70 is: 4,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.70 : 7,133.40 = 2,996.70 : x
  2. Step 2: Convert to fraction form
    4,751.70/7,133.40 = 2,996.70/x
  3. Step 3: Cross multiply
    4,751.70x = 7,133.40 × 2,996.70
  4. Step 4: Simplify right side
    4,751.70x = 21,376,659.78
  5. Step 5: Solve for x
    x = 21,376,659.78/4,751.70
  6. Step 6: Final answer
    x = 4,498.74

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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.