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Finding the Fourth Proportional to 10,685, 14,746.92 and 6,492.44

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Solution

The fourth proportional to 10,685, 14,746.92 and 6,492.44 is: 8,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685 : 14,746.92 = 6,492.44 : x
  2. Step 2: Convert to fraction form
    10,685/14,746.92 = 6,492.44/x
  3. Step 3: Cross multiply
    10,685x = 14,746.92 × 6,492.44
  4. Step 4: Simplify right side
    10,685x = 95,743,493.28
  5. Step 5: Solve for x
    x = 95,743,493.28/10,685
  6. Step 6: Final answer
    x = 8,960.55

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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.