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Finding the Fourth Proportional to 8,599.56, 11,863.14 and 5,416.80

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Solution

The fourth proportional to 8,599.56, 11,863.14 and 5,416.80 is: 7,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.56 : 11,863.14 = 5,416.80 : x
  2. Step 2: Convert to fraction form
    8,599.56/11,863.14 = 5,416.80/x
  3. Step 3: Cross multiply
    8,599.56x = 11,863.14 × 5,416.80
  4. Step 4: Simplify right side
    8,599.56x = 64,260,256.75
  5. Step 5: Solve for x
    x = 64,260,256.75/8,599.56
  6. Step 6: Final answer
    x = 7,472.51

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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.