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Finding the Fourth Proportional to 11,697.52, 16,143.02 and 6,662.64

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Solution

The fourth proportional to 11,697.52, 16,143.02 and 6,662.64 is: 9,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.52 : 16,143.02 = 6,662.64 : x
  2. Step 2: Convert to fraction form
    11,697.52/16,143.02 = 6,662.64/x
  3. Step 3: Cross multiply
    11,697.52x = 16,143.02 × 6,662.64
  4. Step 4: Simplify right side
    11,697.52x = 107,555,130.77
  5. Step 5: Solve for x
    x = 107,555,130.77/11,697.52
  6. Step 6: Final answer
    x = 9,194.70

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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.