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Finding the Fourth Proportional to 14,451.53, 19,943.11 and 7,827.53

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Solution

The fourth proportional to 14,451.53, 19,943.11 and 7,827.53 is: 10,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.53 : 19,943.11 = 7,827.53 : x
  2. Step 2: Convert to fraction form
    14,451.53/19,943.11 = 7,827.53/x
  3. Step 3: Cross multiply
    14,451.53x = 19,943.11 × 7,827.53
  4. Step 4: Simplify right side
    14,451.53x = 156,105,361.24
  5. Step 5: Solve for x
    x = 156,105,361.24/14,451.53
  6. Step 6: Final answer
    x = 10,801.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.