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Finding the Fourth Proportional to 14,966.20, 22,406.10 and 9,134.20

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Solution

The fourth proportional to 14,966.20, 22,406.10 and 9,134.20 is: 13,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.20 : 22,406.10 = 9,134.20 : x
  2. Step 2: Convert to fraction form
    14,966.20/22,406.10 = 9,134.20/x
  3. Step 3: Cross multiply
    14,966.20x = 22,406.10 × 9,134.20
  4. Step 4: Simplify right side
    14,966.20x = 204,661,798.62
  5. Step 5: Solve for x
    x = 204,661,798.62/14,966.20
  6. Step 6: Final answer
    x = 13,674.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.