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Finding the Fourth Proportional to 11,634, 16,054.92 and 6,598.32

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Solution

The fourth proportional to 11,634, 16,054.92 and 6,598.32 is: 9,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634 : 16,054.92 = 6,598.32 : x
  2. Step 2: Convert to fraction form
    11,634/16,054.92 = 6,598.32/x
  3. Step 3: Cross multiply
    11,634x = 16,054.92 × 6,598.32
  4. Step 4: Simplify right side
    11,634x = 105,935,499.73
  5. Step 5: Solve for x
    x = 105,935,499.73/11,634
  6. Step 6: Final answer
    x = 9,105.68

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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.