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Finding the Fourth Proportional to 14,828.19, 20,463.03 and 9,161.63

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Solution

The fourth proportional to 14,828.19, 20,463.03 and 9,161.63 is: 12,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.19 : 20,463.03 = 9,161.63 : x
  2. Step 2: Convert to fraction form
    14,828.19/20,463.03 = 9,161.63/x
  3. Step 3: Cross multiply
    14,828.19x = 20,463.03 × 9,161.63
  4. Step 4: Simplify right side
    14,828.19x = 187,474,760.70
  5. Step 5: Solve for x
    x = 187,474,760.70/14,828.19
  6. Step 6: Final answer
    x = 12,643.13

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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.