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Finding the Fourth Proportional to 14,047.82, 19,384.80 and 8,078.30

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Solution

The fourth proportional to 14,047.82, 19,384.80 and 8,078.30 is: 11,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.82 : 19,384.80 = 8,078.30 : x
  2. Step 2: Convert to fraction form
    14,047.82/19,384.80 = 8,078.30/x
  3. Step 3: Cross multiply
    14,047.82x = 19,384.80 × 8,078.30
  4. Step 4: Simplify right side
    14,047.82x = 156,596,229.84
  5. Step 5: Solve for x
    x = 156,596,229.84/14,047.82
  6. Step 6: Final answer
    x = 11,147.37

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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.