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Finding the Fourth Proportional to 10,641.76, 14,694.24 and 6,866.80

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Solution

The fourth proportional to 10,641.76, 14,694.24 and 6,866.80 is: 9,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.76 : 14,694.24 = 6,866.80 : x
  2. Step 2: Convert to fraction form
    10,641.76/14,694.24 = 6,866.80/x
  3. Step 3: Cross multiply
    10,641.76x = 14,694.24 × 6,866.80
  4. Step 4: Simplify right side
    10,641.76x = 100,902,407.23
  5. Step 5: Solve for x
    x = 100,902,407.23/10,641.76
  6. Step 6: Final answer
    x = 9,481.74

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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.