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Finding the Fourth Proportional to 7,735.13, 11,602.70 and 1,891.70

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Solution

The fourth proportional to 7,735.13, 11,602.70 and 1,891.70 is: 2,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.13 : 11,602.70 = 1,891.70 : x
  2. Step 2: Convert to fraction form
    7,735.13/11,602.70 = 1,891.70/x
  3. Step 3: Cross multiply
    7,735.13x = 11,602.70 × 1,891.70
  4. Step 4: Simplify right side
    7,735.13x = 21,948,827.59
  5. Step 5: Solve for x
    x = 21,948,827.59/7,735.13
  6. Step 6: Final answer
    x = 2,837.55

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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.