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Finding the Fourth Proportional to 8,509.44, 11,743.07 and 4,971.90

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Solution

The fourth proportional to 8,509.44, 11,743.07 and 4,971.90 is: 6,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.44 : 11,743.07 = 4,971.90 : x
  2. Step 2: Convert to fraction form
    8,509.44/11,743.07 = 4,971.90/x
  3. Step 3: Cross multiply
    8,509.44x = 11,743.07 × 4,971.90
  4. Step 4: Simplify right side
    8,509.44x = 58,385,344.87
  5. Step 5: Solve for x
    x = 58,385,344.87/8,509.44
  6. Step 6: Final answer
    x = 6,861.24

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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.