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Finding the Fourth Proportional to 9,234.56, 13,828.80 and 5,761.28

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Solution

The fourth proportional to 9,234.56, 13,828.80 and 5,761.28 is: 8,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.56 : 13,828.80 = 5,761.28 : x
  2. Step 2: Convert to fraction form
    9,234.56/13,828.80 = 5,761.28/x
  3. Step 3: Cross multiply
    9,234.56x = 13,828.80 × 5,761.28
  4. Step 4: Simplify right side
    9,234.56x = 79,671,588.86
  5. Step 5: Solve for x
    x = 79,671,588.86/9,234.56
  6. Step 6: Final answer
    x = 8,627.55

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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.