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Finding the Fourth Proportional to 7,152.41, 9,863.42 and 5,027.27

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Solution

The fourth proportional to 7,152.41, 9,863.42 and 5,027.27 is: 6,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.41 : 9,863.42 = 5,027.27 : x
  2. Step 2: Convert to fraction form
    7,152.41/9,863.42 = 5,027.27/x
  3. Step 3: Cross multiply
    7,152.41x = 9,863.42 × 5,027.27
  4. Step 4: Simplify right side
    7,152.41x = 49,586,075.46
  5. Step 5: Solve for x
    x = 49,586,075.46/7,152.41
  6. Step 6: Final answer
    x = 6,932.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.