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Finding the Fourth Proportional to 9,842.80, 14,764.20 and 9,305.20

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Solution

The fourth proportional to 9,842.80, 14,764.20 and 9,305.20 is: 13,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.80 : 14,764.20 = 9,305.20 : x
  2. Step 2: Convert to fraction form
    9,842.80/14,764.20 = 9,305.20/x
  3. Step 3: Cross multiply
    9,842.80x = 14,764.20 × 9,305.20
  4. Step 4: Simplify right side
    9,842.80x = 137,383,833.84
  5. Step 5: Solve for x
    x = 137,383,833.84/9,842.80
  6. Step 6: Final answer
    x = 13,957.80

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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.