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Finding the Fourth Proportional to 4,956.88, 7,430.46 and 2,767.46

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Solution

The fourth proportional to 4,956.88, 7,430.46 and 2,767.46 is: 4,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.88 : 7,430.46 = 2,767.46 : x
  2. Step 2: Convert to fraction form
    4,956.88/7,430.46 = 2,767.46/x
  3. Step 3: Cross multiply
    4,956.88x = 7,430.46 × 2,767.46
  4. Step 4: Simplify right side
    4,956.88x = 20,563,500.83
  5. Step 5: Solve for x
    x = 20,563,500.83/4,956.88
  6. Step 6: Final answer
    x = 4,148.48

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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.