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Finding the Fourth Proportional to 10,680.60, 14,733.86 and 6,906.98

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Solution

The fourth proportional to 10,680.60, 14,733.86 and 6,906.98 is: 9,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.60 : 14,733.86 = 6,906.98 : x
  2. Step 2: Convert to fraction form
    10,680.60/14,733.86 = 6,906.98/x
  3. Step 3: Cross multiply
    10,680.60x = 14,733.86 × 6,906.98
  4. Step 4: Simplify right side
    10,680.60x = 101,766,476.34
  5. Step 5: Solve for x
    x = 101,766,476.34/10,680.60
  6. Step 6: Final answer
    x = 9,528.16

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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.