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Finding the Fourth Proportional to 14,922.38, 22,383.68 and 7,107.50

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Solution

The fourth proportional to 14,922.38, 22,383.68 and 7,107.50 is: 10,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.38 : 22,383.68 = 7,107.50 : x
  2. Step 2: Convert to fraction form
    14,922.38/22,383.68 = 7,107.50/x
  3. Step 3: Cross multiply
    14,922.38x = 22,383.68 × 7,107.50
  4. Step 4: Simplify right side
    14,922.38x = 159,092,026.02
  5. Step 5: Solve for x
    x = 159,092,026.02/14,922.38
  6. Step 6: Final answer
    x = 10,661.30

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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.