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Finding the Fourth Proportional to 8,489.94, 11,714.30 and 5,132.08

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Solution

The fourth proportional to 8,489.94, 11,714.30 and 5,132.08 is: 7,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.94 : 11,714.30 = 5,132.08 : x
  2. Step 2: Convert to fraction form
    8,489.94/11,714.30 = 5,132.08/x
  3. Step 3: Cross multiply
    8,489.94x = 11,714.30 × 5,132.08
  4. Step 4: Simplify right side
    8,489.94x = 60,118,724.74
  5. Step 5: Solve for x
    x = 60,118,724.74/8,489.94
  6. Step 6: Final answer
    x = 7,081.17

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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.