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Finding the Fourth Proportional to 7,798.72, 11,698.08 and 2,252.86

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Solution

The fourth proportional to 7,798.72, 11,698.08 and 2,252.86 is: 3,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.72 : 11,698.08 = 2,252.86 : x
  2. Step 2: Convert to fraction form
    7,798.72/11,698.08 = 2,252.86/x
  3. Step 3: Cross multiply
    7,798.72x = 11,698.08 × 2,252.86
  4. Step 4: Simplify right side
    7,798.72x = 26,354,136.51
  5. Step 5: Solve for x
    x = 26,354,136.51/7,798.72
  6. Step 6: Final answer
    x = 3,379.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.