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Finding the Fourth Proportional to 14,794.49, 20,415.62 and 8,078.82

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Solution

The fourth proportional to 14,794.49, 20,415.62 and 8,078.82 is: 11,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.49 : 20,415.62 = 8,078.82 : x
  2. Step 2: Convert to fraction form
    14,794.49/20,415.62 = 8,078.82/x
  3. Step 3: Cross multiply
    14,794.49x = 20,415.62 × 8,078.82
  4. Step 4: Simplify right side
    14,794.49x = 164,934,119.17
  5. Step 5: Solve for x
    x = 164,934,119.17/14,794.49
  6. Step 6: Final answer
    x = 11,148.35

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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.