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Finding the Fourth Proportional to 10,182, 15,279.48 and 4,026

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Solution

The fourth proportional to 10,182, 15,279.48 and 4,026 is: 6,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182 : 15,279.48 = 4,026 : x
  2. Step 2: Convert to fraction form
    10,182/15,279.48 = 4,026/x
  3. Step 3: Cross multiply
    10,182x = 15,279.48 × 4,026
  4. Step 4: Simplify right side
    10,182x = 61,515,186.48
  5. Step 5: Solve for x
    x = 61,515,186.48/10,182
  6. Step 6: Final answer
    x = 6,041.56

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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.