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Finding the Fourth Proportional to 9,805.70, 14,708.55 and 5,197.70

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Solution

The fourth proportional to 9,805.70, 14,708.55 and 5,197.70 is: 7,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.70 : 14,708.55 = 5,197.70 : x
  2. Step 2: Convert to fraction form
    9,805.70/14,708.55 = 5,197.70/x
  3. Step 3: Cross multiply
    9,805.70x = 14,708.55 × 5,197.70
  4. Step 4: Simplify right side
    9,805.70x = 76,450,630.34
  5. Step 5: Solve for x
    x = 76,450,630.34/9,805.70
  6. Step 6: Final answer
    x = 7,796.55

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Similar ratio
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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.