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Finding the Fourth Proportional to 7,133.56, 9,842.88 and 4,149.88

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Solution

The fourth proportional to 7,133.56, 9,842.88 and 4,149.88 is: 5,726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.56 : 9,842.88 = 4,149.88 : x
  2. Step 2: Convert to fraction form
    7,133.56/9,842.88 = 4,149.88/x
  3. Step 3: Cross multiply
    7,133.56x = 9,842.88 × 4,149.88
  4. Step 4: Simplify right side
    7,133.56x = 40,846,770.85
  5. Step 5: Solve for x
    x = 40,846,770.85/7,133.56
  6. Step 6: Final answer
    x = 5,726.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.