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Finding the Fourth Proportional to 8,497.58, 12,714.77 and 7,452.68

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Solution

The fourth proportional to 8,497.58, 12,714.77 and 7,452.68 is: 11,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.58 : 12,714.77 = 7,452.68 : x
  2. Step 2: Convert to fraction form
    8,497.58/12,714.77 = 7,452.68/x
  3. Step 3: Cross multiply
    8,497.58x = 12,714.77 × 7,452.68
  4. Step 4: Simplify right side
    8,497.58x = 94,759,067.14
  5. Step 5: Solve for x
    x = 94,759,067.14/8,497.58
  6. Step 6: Final answer
    x = 11,151.31

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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.