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Finding the Fourth Proportional to 9,853.75, 14,708.69 and 8,546.68

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Solution

The fourth proportional to 9,853.75, 14,708.69 and 8,546.68 is: 12,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.75 : 14,708.69 = 8,546.68 : x
  2. Step 2: Convert to fraction form
    9,853.75/14,708.69 = 8,546.68/x
  3. Step 3: Cross multiply
    9,853.75x = 14,708.69 × 8,546.68
  4. Step 4: Simplify right side
    9,853.75x = 125,710,474.35
  5. Step 5: Solve for x
    x = 125,710,474.35/9,853.75
  6. Step 6: Final answer
    x = 12,757.63

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.