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Finding the Fourth Proportional to 11,597.23, 16,014.81 and 7,412.77

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Solution

The fourth proportional to 11,597.23, 16,014.81 and 7,412.77 is: 10,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.23 : 16,014.81 = 7,412.77 : x
  2. Step 2: Convert to fraction form
    11,597.23/16,014.81 = 7,412.77/x
  3. Step 3: Cross multiply
    11,597.23x = 16,014.81 × 7,412.77
  4. Step 4: Simplify right side
    11,597.23x = 118,714,103.12
  5. Step 5: Solve for x
    x = 118,714,103.12/11,597.23
  6. Step 6: Final answer
    x = 10,236.42

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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.