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Finding the Fourth Proportional to 8,501.75, 11,732.42 and 4,775.75

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Solution

The fourth proportional to 8,501.75, 11,732.42 and 4,775.75 is: 6,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.75 : 11,732.42 = 4,775.75 : x
  2. Step 2: Convert to fraction form
    8,501.75/11,732.42 = 4,775.75/x
  3. Step 3: Cross multiply
    8,501.75x = 11,732.42 × 4,775.75
  4. Step 4: Simplify right side
    8,501.75x = 56,031,104.82
  5. Step 5: Solve for x
    x = 56,031,104.82/8,501.75
  6. Step 6: Final answer
    x = 6,590.54

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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.