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Finding the Fourth Proportional to 8,501, 11,731.38 and 4,775

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Solution

The fourth proportional to 8,501, 11,731.38 and 4,775 is: 6,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501 : 11,731.38 = 4,775 : x
  2. Step 2: Convert to fraction form
    8,501/11,731.38 = 4,775/x
  3. Step 3: Cross multiply
    8,501x = 11,731.38 × 4,775
  4. Step 4: Simplify right side
    8,501x = 56,017,339.50
  5. Step 5: Solve for x
    x = 56,017,339.50/8,501
  6. Step 6: Final answer
    x = 6,589.50

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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.