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Finding the Fourth Proportional to 11,597.21, 16,004.08 and 6,291.91

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Solution

The fourth proportional to 11,597.21, 16,004.08 and 6,291.91 is: 8,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.21 : 16,004.08 = 6,291.91 : x
  2. Step 2: Convert to fraction form
    11,597.21/16,004.08 = 6,291.91/x
  3. Step 3: Cross multiply
    11,597.21x = 16,004.08 × 6,291.91
  4. Step 4: Simplify right side
    11,597.21x = 100,696,258.86
  5. Step 5: Solve for x
    x = 100,696,258.86/11,597.21
  6. Step 6: Final answer
    x = 8,682.80

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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.