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Finding the Fourth Proportional to 9,755.76, 14,622.60 and 4,828.76

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Solution

The fourth proportional to 9,755.76, 14,622.60 and 4,828.76 is: 7,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.76 : 14,622.60 = 4,828.76 : x
  2. Step 2: Convert to fraction form
    9,755.76/14,622.60 = 4,828.76/x
  3. Step 3: Cross multiply
    9,755.76x = 14,622.60 × 4,828.76
  4. Step 4: Simplify right side
    9,755.76x = 70,609,025.98
  5. Step 5: Solve for x
    x = 70,609,025.98/9,755.76
  6. Step 6: Final answer
    x = 7,237.68

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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.