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Finding the Fourth Proportional to 10,078.88, 13,906.59 and 6,099.15

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Solution

The fourth proportional to 10,078.88, 13,906.59 and 6,099.15 is: 8,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.88 : 13,906.59 = 6,099.15 : x
  2. Step 2: Convert to fraction form
    10,078.88/13,906.59 = 6,099.15/x
  3. Step 3: Cross multiply
    10,078.88x = 13,906.59 × 6,099.15
  4. Step 4: Simplify right side
    10,078.88x = 84,818,329.45
  5. Step 5: Solve for x
    x = 84,818,329.45/10,078.88
  6. Step 6: Final answer
    x = 8,415.45

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1.5x scale

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.