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Finding the Fourth Proportional to 10,019.55, 13,824.48 and 6,478.50

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Solution

The fourth proportional to 10,019.55, 13,824.48 and 6,478.50 is: 8,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.55 : 13,824.48 = 6,478.50 : x
  2. Step 2: Convert to fraction form
    10,019.55/13,824.48 = 6,478.50/x
  3. Step 3: Cross multiply
    10,019.55x = 13,824.48 × 6,478.50
  4. Step 4: Simplify right side
    10,019.55x = 89,561,893.68
  5. Step 5: Solve for x
    x = 89,561,893.68/10,019.55
  6. Step 6: Final answer
    x = 8,938.71

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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.