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Finding the Fourth Proportional to 10,026.50, 15,036.03 and 4,474.34

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Solution

The fourth proportional to 10,026.50, 15,036.03 and 4,474.34 is: 6,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.50 : 15,036.03 = 4,474.34 : x
  2. Step 2: Convert to fraction form
    10,026.50/15,036.03 = 4,474.34/x
  3. Step 3: Cross multiply
    10,026.50x = 15,036.03 × 4,474.34
  4. Step 4: Simplify right side
    10,026.50x = 67,276,310.47
  5. Step 5: Solve for x
    x = 67,276,310.47/10,026.50
  6. Step 6: Final answer
    x = 6,709.85

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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.