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Finding the Fourth Proportional to 11,814.92, 17,698.08 and 8,534.60

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Solution

The fourth proportional to 11,814.92, 17,698.08 and 8,534.60 is: 12,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.92 : 17,698.08 = 8,534.60 : x
  2. Step 2: Convert to fraction form
    11,814.92/17,698.08 = 8,534.60/x
  3. Step 3: Cross multiply
    11,814.92x = 17,698.08 × 8,534.60
  4. Step 4: Simplify right side
    11,814.92x = 151,046,033.57
  5. Step 5: Solve for x
    x = 151,046,033.57/11,814.92
  6. Step 6: Final answer
    x = 12,784.35

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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.