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Finding the Fourth Proportional to 6,433, 8,877.54 and 4,573.24

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Solution

The fourth proportional to 6,433, 8,877.54 and 4,573.24 is: 6,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433 : 8,877.54 = 4,573.24 : x
  2. Step 2: Convert to fraction form
    6,433/8,877.54 = 4,573.24/x
  3. Step 3: Cross multiply
    6,433x = 8,877.54 × 4,573.24
  4. Step 4: Simplify right side
    6,433x = 40,599,121.03
  5. Step 5: Solve for x
    x = 40,599,121.03/6,433
  6. Step 6: Final answer
    x = 6,311.07

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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.