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Finding the Fourth Proportional to 11,602.14, 17,405.13 and 3,809.13

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Solution

The fourth proportional to 11,602.14, 17,405.13 and 3,809.13 is: 5,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.14 : 17,405.13 = 3,809.13 : x
  2. Step 2: Convert to fraction form
    11,602.14/17,405.13 = 3,809.13/x
  3. Step 3: Cross multiply
    11,602.14x = 17,405.13 × 3,809.13
  4. Step 4: Simplify right side
    11,602.14x = 66,298,402.84
  5. Step 5: Solve for x
    x = 66,298,402.84/11,602.14
  6. Step 6: Final answer
    x = 5,714.33

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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.