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Finding the Fourth Proportional to 7,714.51, 11,567.81 and 3,550.91

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Solution

The fourth proportional to 7,714.51, 11,567.81 and 3,550.91 is: 5,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.51 : 11,567.81 = 3,550.91 : x
  2. Step 2: Convert to fraction form
    7,714.51/11,567.81 = 3,550.91/x
  3. Step 3: Cross multiply
    7,714.51x = 11,567.81 × 3,550.91
  4. Step 4: Simplify right side
    7,714.51x = 41,076,203.25
  5. Step 5: Solve for x
    x = 41,076,203.25/7,714.51
  6. Step 6: Final answer
    x = 5,324.54

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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.