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Finding the Fourth Proportional to 14,046.46, 19,384.68 and 8,078.13

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Solution

The fourth proportional to 14,046.46, 19,384.68 and 8,078.13 is: 11,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.46 : 19,384.68 = 8,078.13 : x
  2. Step 2: Convert to fraction form
    14,046.46/19,384.68 = 8,078.13/x
  3. Step 3: Cross multiply
    14,046.46x = 19,384.68 × 8,078.13
  4. Step 4: Simplify right side
    14,046.46x = 156,591,995.34
  5. Step 5: Solve for x
    x = 156,591,995.34/14,046.46
  6. Step 6: Final answer
    x = 11,148.14

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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.