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Finding the Fourth Proportional to 8,083.16, 11,174.64 and 8,009.24

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Solution

The fourth proportional to 8,083.16, 11,174.64 and 8,009.24 is: 11,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.16 : 11,174.64 = 8,009.24 : x
  2. Step 2: Convert to fraction form
    8,083.16/11,174.64 = 8,009.24/x
  3. Step 3: Cross multiply
    8,083.16x = 11,174.64 × 8,009.24
  4. Step 4: Simplify right side
    8,083.16x = 89,500,373.67
  5. Step 5: Solve for x
    x = 89,500,373.67/8,083.16
  6. Step 6: Final answer
    x = 11,072.45

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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.