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Finding the Fourth Proportional to 8,714.54, 12,027.80 and 5,177.06

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Solution

The fourth proportional to 8,714.54, 12,027.80 and 5,177.06 is: 7,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.54 : 12,027.80 = 5,177.06 : x
  2. Step 2: Convert to fraction form
    8,714.54/12,027.80 = 5,177.06/x
  3. Step 3: Cross multiply
    8,714.54x = 12,027.80 × 5,177.06
  4. Step 4: Simplify right side
    8,714.54x = 62,268,642.27
  5. Step 5: Solve for x
    x = 62,268,642.27/8,714.54
  6. Step 6: Final answer
    x = 7,145.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.