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Finding the Fourth Proportional to 10,419.50, 15,630.60 and 3,024.20

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Solution

The fourth proportional to 10,419.50, 15,630.60 and 3,024.20 is: 4,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.50 : 15,630.60 = 3,024.20 : x
  2. Step 2: Convert to fraction form
    10,419.50/15,630.60 = 3,024.20/x
  3. Step 3: Cross multiply
    10,419.50x = 15,630.60 × 3,024.20
  4. Step 4: Simplify right side
    10,419.50x = 47,270,060.52
  5. Step 5: Solve for x
    x = 47,270,060.52/10,419.50
  6. Step 6: Final answer
    x = 4,536.69

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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.