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Finding the Fourth Proportional to 8,194.53, 11,308.08 and 5,013.12

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Solution

The fourth proportional to 8,194.53, 11,308.08 and 5,013.12 is: 6,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.53 : 11,308.08 = 5,013.12 : x
  2. Step 2: Convert to fraction form
    8,194.53/11,308.08 = 5,013.12/x
  3. Step 3: Cross multiply
    8,194.53x = 11,308.08 × 5,013.12
  4. Step 4: Simplify right side
    8,194.53x = 56,688,762.01
  5. Step 5: Solve for x
    x = 56,688,762.01/8,194.53
  6. Step 6: Final answer
    x = 6,917.88

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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.