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Finding the Fourth Proportional to 7,829.53, 11,714.86 and 5,494.09

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Solution

The fourth proportional to 7,829.53, 11,714.86 and 5,494.09 is: 8,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.53 : 11,714.86 = 5,494.09 : x
  2. Step 2: Convert to fraction form
    7,829.53/11,714.86 = 5,494.09/x
  3. Step 3: Cross multiply
    7,829.53x = 11,714.86 × 5,494.09
  4. Step 4: Simplify right side
    7,829.53x = 64,362,452.16
  5. Step 5: Solve for x
    x = 64,362,452.16/7,829.53
  6. Step 6: Final answer
    x = 8,220.48

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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.