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Finding the Fourth Proportional to 14,138.34, 19,510.03 and 8,169.04

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Solution

The fourth proportional to 14,138.34, 19,510.03 and 8,169.04 is: 11,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.34 : 19,510.03 = 8,169.04 : x
  2. Step 2: Convert to fraction form
    14,138.34/19,510.03 = 8,169.04/x
  3. Step 3: Cross multiply
    14,138.34x = 19,510.03 × 8,169.04
  4. Step 4: Simplify right side
    14,138.34x = 159,378,215.47
  5. Step 5: Solve for x
    x = 159,378,215.47/14,138.34
  6. Step 6: Final answer
    x = 11,272.77

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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.