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Finding the Fourth Proportional to 10,995.92, 16,461.07 and 7,707.22

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Solution

The fourth proportional to 10,995.92, 16,461.07 and 7,707.22 is: 11,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.92 : 16,461.07 = 7,707.22 : x
  2. Step 2: Convert to fraction form
    10,995.92/16,461.07 = 7,707.22/x
  3. Step 3: Cross multiply
    10,995.92x = 16,461.07 × 7,707.22
  4. Step 4: Simplify right side
    10,995.92x = 126,869,070.86
  5. Step 5: Solve for x
    x = 126,869,070.86/10,995.92
  6. Step 6: Final answer
    x = 11,537.83

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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.