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Finding the Fourth Proportional to 4,728.64, 7,092.96 and 1,441.76

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Solution

The fourth proportional to 4,728.64, 7,092.96 and 1,441.76 is: 2,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.64 : 7,092.96 = 1,441.76 : x
  2. Step 2: Convert to fraction form
    4,728.64/7,092.96 = 1,441.76/x
  3. Step 3: Cross multiply
    4,728.64x = 7,092.96 × 1,441.76
  4. Step 4: Simplify right side
    4,728.64x = 10,226,346.01
  5. Step 5: Solve for x
    x = 10,226,346.01/4,728.64
  6. Step 6: Final answer
    x = 2,162.64

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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.