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Finding the Fourth Proportional to 4,762.56, 7,143.72 and 1,299.72

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Solution

The fourth proportional to 4,762.56, 7,143.72 and 1,299.72 is: 1,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.56 : 7,143.72 = 1,299.72 : x
  2. Step 2: Convert to fraction form
    4,762.56/7,143.72 = 1,299.72/x
  3. Step 3: Cross multiply
    4,762.56x = 7,143.72 × 1,299.72
  4. Step 4: Simplify right side
    4,762.56x = 9,284,835.76
  5. Step 5: Solve for x
    x = 9,284,835.76/4,762.56
  6. Step 6: Final answer
    x = 1,949.55

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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.