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Finding the Fourth Proportional to 14,983.40, 22,469.70 and 7,585.40

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Solution

The fourth proportional to 14,983.40, 22,469.70 and 7,585.40 is: 11,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.40 : 22,469.70 = 7,585.40 : x
  2. Step 2: Convert to fraction form
    14,983.40/22,469.70 = 7,585.40/x
  3. Step 3: Cross multiply
    14,983.40x = 22,469.70 × 7,585.40
  4. Step 4: Simplify right side
    14,983.40x = 170,441,662.38
  5. Step 5: Solve for x
    x = 170,441,662.38/14,983.40
  6. Step 6: Final answer
    x = 11,375.37

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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.