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Finding the Fourth Proportional to 9,797.90, 14,696.84 and 3,953.14

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Solution

The fourth proportional to 9,797.90, 14,696.84 and 3,953.14 is: 5,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.90 : 14,696.84 = 3,953.14 : x
  2. Step 2: Convert to fraction form
    9,797.90/14,696.84 = 3,953.14/x
  3. Step 3: Cross multiply
    9,797.90x = 14,696.84 × 3,953.14
  4. Step 4: Simplify right side
    9,797.90x = 58,098,592.59
  5. Step 5: Solve for x
    x = 58,098,592.59/9,797.90
  6. Step 6: Final answer
    x = 5,929.70

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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.