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Finding the Fourth Proportional to 10,854.92, 14,963.46 and 8,492.96

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Solution

The fourth proportional to 10,854.92, 14,963.46 and 8,492.96 is: 11,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.92 : 14,963.46 = 8,492.96 : x
  2. Step 2: Convert to fraction form
    10,854.92/14,963.46 = 8,492.96/x
  3. Step 3: Cross multiply
    10,854.92x = 14,963.46 × 8,492.96
  4. Step 4: Simplify right side
    10,854.92x = 127,084,067.24
  5. Step 5: Solve for x
    x = 127,084,067.24/10,854.92
  6. Step 6: Final answer
    x = 11,707.51

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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.