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Finding the Fourth Proportional to 34,642.20, 51,963.42 and 9,682.09

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Solution

The fourth proportional to 34,642.20, 51,963.42 and 9,682.09 is: 14,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642.20 : 51,963.42 = 9,682.09 : x
  2. Step 2: Convert to fraction form
    34,642.20/51,963.42 = 9,682.09/x
  3. Step 3: Cross multiply
    34,642.20x = 51,963.42 × 9,682.09
  4. Step 4: Simplify right side
    34,642.20x = 503,114,509.15
  5. Step 5: Solve for x
    x = 503,114,509.15/34,642.20
  6. Step 6: Final answer
    x = 14,523.17

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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.