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Finding the Fourth Proportional to 11,597.99, 16,005.08 and 6,292.77

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Solution

The fourth proportional to 11,597.99, 16,005.08 and 6,292.77 is: 8,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.99 : 16,005.08 = 6,292.77 : x
  2. Step 2: Convert to fraction form
    11,597.99/16,005.08 = 6,292.77/x
  3. Step 3: Cross multiply
    11,597.99x = 16,005.08 × 6,292.77
  4. Step 4: Simplify right side
    11,597.99x = 100,716,287.27
  5. Step 5: Solve for x
    x = 100,716,287.27/11,597.99
  6. Step 6: Final answer
    x = 8,683.94

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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.