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Finding the Fourth Proportional to 12,659.66, 17,471.32 and 6,994.92

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Solution

The fourth proportional to 12,659.66, 17,471.32 and 6,994.92 is: 9,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.66 : 17,471.32 = 6,994.92 : x
  2. Step 2: Convert to fraction form
    12,659.66/17,471.32 = 6,994.92/x
  3. Step 3: Cross multiply
    12,659.66x = 17,471.32 × 6,994.92
  4. Step 4: Simplify right side
    12,659.66x = 122,210,468.21
  5. Step 5: Solve for x
    x = 122,210,468.21/12,659.66
  6. Step 6: Final answer
    x = 9,653.54

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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.