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Finding the Fourth Proportional to 5,989.66, 8,252.22 and 4,415.02

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Solution

The fourth proportional to 5,989.66, 8,252.22 and 4,415.02 is: 6,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.66 : 8,252.22 = 4,415.02 : x
  2. Step 2: Convert to fraction form
    5,989.66/8,252.22 = 4,415.02/x
  3. Step 3: Cross multiply
    5,989.66x = 8,252.22 × 4,415.02
  4. Step 4: Simplify right side
    5,989.66x = 36,433,716.34
  5. Step 5: Solve for x
    x = 36,433,716.34/5,989.66
  6. Step 6: Final answer
    x = 6,082.77

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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.