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Finding the Fourth Proportional to 13,832.91, 19,089.95 and 7,865.12

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Solution

The fourth proportional to 13,832.91, 19,089.95 and 7,865.12 is: 10,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.91 : 19,089.95 = 7,865.12 : x
  2. Step 2: Convert to fraction form
    13,832.91/19,089.95 = 7,865.12/x
  3. Step 3: Cross multiply
    13,832.91x = 19,089.95 × 7,865.12
  4. Step 4: Simplify right side
    13,832.91x = 150,144,755.94
  5. Step 5: Solve for x
    x = 150,144,755.94/13,832.91
  6. Step 6: Final answer
    x = 10,854.17

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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.