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Finding the Fourth Proportional to 4,793.64, 7,190.70 and 1,506.76

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Solution

The fourth proportional to 4,793.64, 7,190.70 and 1,506.76 is: 2,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.64 : 7,190.70 = 1,506.76 : x
  2. Step 2: Convert to fraction form
    4,793.64/7,190.70 = 1,506.76/x
  3. Step 3: Cross multiply
    4,793.64x = 7,190.70 × 1,506.76
  4. Step 4: Simplify right side
    4,793.64x = 10,834,659.13
  5. Step 5: Solve for x
    x = 10,834,659.13/4,793.64
  6. Step 6: Final answer
    x = 2,260.22

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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.