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Finding the Fourth Proportional to 10,771.66, 14,866.06 and 6,296.92

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Solution

The fourth proportional to 10,771.66, 14,866.06 and 6,296.92 is: 8,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.66 : 14,866.06 = 6,296.92 : x
  2. Step 2: Convert to fraction form
    10,771.66/14,866.06 = 6,296.92/x
  3. Step 3: Cross multiply
    10,771.66x = 14,866.06 × 6,296.92
  4. Step 4: Simplify right side
    10,771.66x = 93,610,390.54
  5. Step 5: Solve for x
    x = 93,610,390.54/10,771.66
  6. Step 6: Final answer
    x = 8,690.43

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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.