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Finding the Fourth Proportional to 9,842.88, 14,757.24 and 4,645.92

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Solution

The fourth proportional to 9,842.88, 14,757.24 and 4,645.92 is: 6,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.88 : 14,757.24 = 4,645.92 : x
  2. Step 2: Convert to fraction form
    9,842.88/14,757.24 = 4,645.92/x
  3. Step 3: Cross multiply
    9,842.88x = 14,757.24 × 4,645.92
  4. Step 4: Simplify right side
    9,842.88x = 68,560,956.46
  5. Step 5: Solve for x
    x = 68,560,956.46/9,842.88
  6. Step 6: Final answer
    x = 6,965.54

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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.