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Finding the Fourth Proportional to 8,514.78, 12,762.18 and 7,542.78

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Solution

The fourth proportional to 8,514.78, 12,762.18 and 7,542.78 is: 11,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.78 : 12,762.18 = 7,542.78 : x
  2. Step 2: Convert to fraction form
    8,514.78/12,762.18 = 7,542.78/x
  3. Step 3: Cross multiply
    8,514.78x = 12,762.18 × 7,542.78
  4. Step 4: Simplify right side
    8,514.78x = 96,262,316.06
  5. Step 5: Solve for x
    x = 96,262,316.06/8,514.78
  6. Step 6: Final answer
    x = 11,305.32

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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.