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Finding the Fourth Proportional to 4,996.92, 6,896.58 and 4,775.48

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Solution

The fourth proportional to 4,996.92, 6,896.58 and 4,775.48 is: 6,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.92 : 6,896.58 = 4,775.48 : x
  2. Step 2: Convert to fraction form
    4,996.92/6,896.58 = 4,775.48/x
  3. Step 3: Cross multiply
    4,996.92x = 6,896.58 × 4,775.48
  4. Step 4: Simplify right side
    4,996.92x = 32,934,479.86
  5. Step 5: Solve for x
    x = 32,934,479.86/4,996.92
  6. Step 6: Final answer
    x = 6,590.96

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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.