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Finding the Fourth Proportional to 13,960.82, 19,264.92 and 8,295.32

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Solution

The fourth proportional to 13,960.82, 19,264.92 and 8,295.32 is: 11,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.82 : 19,264.92 = 8,295.32 : x
  2. Step 2: Convert to fraction form
    13,960.82/19,264.92 = 8,295.32/x
  3. Step 3: Cross multiply
    13,960.82x = 19,264.92 × 8,295.32
  4. Step 4: Simplify right side
    13,960.82x = 159,808,676.17
  5. Step 5: Solve for x
    x = 159,808,676.17/13,960.82
  6. Step 6: Final answer
    x = 11,446.94

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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.