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Finding the Fourth Proportional to 4,761.75, 7,142.54 and 1,299.00

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Solution

The fourth proportional to 4,761.75, 7,142.54 and 1,299.00 is: 1,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.75 : 7,142.54 = 1,299.00 : x
  2. Step 2: Convert to fraction form
    4,761.75/7,142.54 = 1,299.00/x
  3. Step 3: Cross multiply
    4,761.75x = 7,142.54 × 1,299.00
  4. Step 4: Simplify right side
    4,761.75x = 9,278,125.78
  5. Step 5: Solve for x
    x = 9,278,125.78/4,761.75
  6. Step 6: Final answer
    x = 1,948.47

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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.