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Finding the Fourth Proportional to 33,182.38, 49,773.57 and 9,807

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Solution

The fourth proportional to 33,182.38, 49,773.57 and 9,807 is: 14,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.38 : 49,773.57 = 9,807 : x
  2. Step 2: Convert to fraction form
    33,182.38/49,773.57 = 9,807/x
  3. Step 3: Cross multiply
    33,182.38x = 49,773.57 × 9,807
  4. Step 4: Simplify right side
    33,182.38x = 488,129,400.99
  5. Step 5: Solve for x
    x = 488,129,400.99/33,182.38
  6. Step 6: Final answer
    x = 14,710.50

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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.