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Finding the Fourth Proportional to 10,026, 15,039.96 and 2,730

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Solution

The fourth proportional to 10,026, 15,039.96 and 2,730 is: 4,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026 : 15,039.96 = 2,730 : x
  2. Step 2: Convert to fraction form
    10,026/15,039.96 = 2,730/x
  3. Step 3: Cross multiply
    10,026x = 15,039.96 × 2,730
  4. Step 4: Simplify right side
    10,026x = 41,059,090.80
  5. Step 5: Solve for x
    x = 41,059,090.80/10,026
  6. Step 6: Final answer
    x = 4,095.26

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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.