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Finding the Fourth Proportional to 9,620.48, 14,436.48 and 3,464.96

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Solution

The fourth proportional to 9,620.48, 14,436.48 and 3,464.96 is: 5,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.48 : 14,436.48 = 3,464.96 : x
  2. Step 2: Convert to fraction form
    9,620.48/14,436.48 = 3,464.96/x
  3. Step 3: Cross multiply
    9,620.48x = 14,436.48 × 3,464.96
  4. Step 4: Simplify right side
    9,620.48x = 50,021,825.74
  5. Step 5: Solve for x
    x = 50,021,825.74/9,620.48
  6. Step 6: Final answer
    x = 5,199.51

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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.