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Finding the Fourth Proportional to 10,090, 13,924.26 and 5,897.44

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Solution

The fourth proportional to 10,090, 13,924.26 and 5,897.44 is: 8,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 13,924.26 = 5,897.44 : x
  2. Step 2: Convert to fraction form
    10,090/13,924.26 = 5,897.44/x
  3. Step 3: Cross multiply
    10,090x = 13,924.26 × 5,897.44
  4. Step 4: Simplify right side
    10,090x = 82,117,487.89
  5. Step 5: Solve for x
    x = 82,117,487.89/10,090
  6. Step 6: Final answer
    x = 8,138.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.