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Finding the Fourth Proportional to 10,996.77, 16,477.86 and 8,504.06

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Solution

The fourth proportional to 10,996.77, 16,477.86 and 8,504.06 is: 12,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.77 : 16,477.86 = 8,504.06 : x
  2. Step 2: Convert to fraction form
    10,996.77/16,477.86 = 8,504.06/x
  3. Step 3: Cross multiply
    10,996.77x = 16,477.86 × 8,504.06
  4. Step 4: Simplify right side
    10,996.77x = 140,128,710.11
  5. Step 5: Solve for x
    x = 140,128,710.11/10,996.77
  6. Step 6: Final answer
    x = 12,742.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.