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Finding the Fourth Proportional to 8,392.63, 11,581.91 and 4,564.31

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Solution

The fourth proportional to 8,392.63, 11,581.91 and 4,564.31 is: 6,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.63 : 11,581.91 = 4,564.31 : x
  2. Step 2: Convert to fraction form
    8,392.63/11,581.91 = 4,564.31/x
  3. Step 3: Cross multiply
    8,392.63x = 11,581.91 × 4,564.31
  4. Step 4: Simplify right side
    8,392.63x = 52,863,369.72
  5. Step 5: Solve for x
    x = 52,863,369.72/8,392.63
  6. Step 6: Final answer
    x = 6,298.78

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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.