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Finding the Fourth Proportional to 11,597.87, 16,005.04 and 6,292.68

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Solution

The fourth proportional to 11,597.87, 16,005.04 and 6,292.68 is: 8,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.87 : 16,005.04 = 6,292.68 : x
  2. Step 2: Convert to fraction form
    11,597.87/16,005.04 = 6,292.68/x
  3. Step 3: Cross multiply
    11,597.87x = 16,005.04 × 6,292.68
  4. Step 4: Simplify right side
    11,597.87x = 100,714,563.64
  5. Step 5: Solve for x
    x = 100,714,563.64/11,597.87
  6. Step 6: Final answer
    x = 8,683.89

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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.