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Finding the Fourth Proportional to 10,256, 15,385.29 and 4,015.21

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Solution

The fourth proportional to 10,256, 15,385.29 and 4,015.21 is: 6,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 15,385.29 = 4,015.21 : x
  2. Step 2: Convert to fraction form
    10,256/15,385.29 = 4,015.21/x
  3. Step 3: Cross multiply
    10,256x = 15,385.29 × 4,015.21
  4. Step 4: Simplify right side
    10,256x = 61,775,170.26
  5. Step 5: Solve for x
    x = 61,775,170.26/10,256
  6. Step 6: Final answer
    x = 6,023.32

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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.