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Finding the Fourth Proportional to 8,149.69, 11,245.87 and 4,746.17

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Solution

The fourth proportional to 8,149.69, 11,245.87 and 4,746.17 is: 6,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.69 : 11,245.87 = 4,746.17 : x
  2. Step 2: Convert to fraction form
    8,149.69/11,245.87 = 4,746.17/x
  3. Step 3: Cross multiply
    8,149.69x = 11,245.87 × 4,746.17
  4. Step 4: Simplify right side
    8,149.69x = 53,374,844.87
  5. Step 5: Solve for x
    x = 53,374,844.87/8,149.69
  6. Step 6: Final answer
    x = 6,549.31

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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.