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Finding the Fourth Proportional to 8,387.24, 11,573.94 and 4,661

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Solution

The fourth proportional to 8,387.24, 11,573.94 and 4,661 is: 6,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.24 : 11,573.94 = 4,661 : x
  2. Step 2: Convert to fraction form
    8,387.24/11,573.94 = 4,661/x
  3. Step 3: Cross multiply
    8,387.24x = 11,573.94 × 4,661
  4. Step 4: Simplify right side
    8,387.24x = 53,946,134.34
  5. Step 5: Solve for x
    x = 53,946,134.34/8,387.24
  6. Step 6: Final answer
    x = 6,431.93

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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.