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Finding the Fourth Proportional to 27,107.84, 40,653.95 and 9,337.78

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Solution

The fourth proportional to 27,107.84, 40,653.95 and 9,337.78 is: 14,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.84 : 40,653.95 = 9,337.78 : x
  2. Step 2: Convert to fraction form
    27,107.84/40,653.95 = 9,337.78/x
  3. Step 3: Cross multiply
    27,107.84x = 40,653.95 × 9,337.78
  4. Step 4: Simplify right side
    27,107.84x = 379,617,391.27
  5. Step 5: Solve for x
    x = 379,617,391.27/27,107.84
  6. Step 6: Final answer
    x = 14,003.97

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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.