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Finding the Fourth Proportional to 8,267.68, 11,341.91 and 8,017.96

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Solution

The fourth proportional to 8,267.68, 11,341.91 and 8,017.96 is: 10,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.68 : 11,341.91 = 8,017.96 : x
  2. Step 2: Convert to fraction form
    8,267.68/11,341.91 = 8,017.96/x
  3. Step 3: Cross multiply
    8,267.68x = 11,341.91 × 8,017.96
  4. Step 4: Simplify right side
    8,267.68x = 90,938,980.70
  5. Step 5: Solve for x
    x = 90,938,980.70/8,267.68
  6. Step 6: Final answer
    x = 10,999.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.