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Finding the Fourth Proportional to 8,159.10, 11,243.43 and 5,794.62

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Solution

The fourth proportional to 8,159.10, 11,243.43 and 5,794.62 is: 7,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.10 : 11,243.43 = 5,794.62 : x
  2. Step 2: Convert to fraction form
    8,159.10/11,243.43 = 5,794.62/x
  3. Step 3: Cross multiply
    8,159.10x = 11,243.43 × 5,794.62
  4. Step 4: Simplify right side
    8,159.10x = 65,151,404.35
  5. Step 5: Solve for x
    x = 65,151,404.35/8,159.10
  6. Step 6: Final answer
    x = 7,985.12

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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.