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Finding the Fourth Proportional to 6,222.29, 8,597.69 and 4,973.66

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Solution

The fourth proportional to 6,222.29, 8,597.69 and 4,973.66 is: 6,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.29 : 8,597.69 = 4,973.66 : x
  2. Step 2: Convert to fraction form
    6,222.29/8,597.69 = 4,973.66/x
  3. Step 3: Cross multiply
    6,222.29x = 8,597.69 × 4,973.66
  4. Step 4: Simplify right side
    6,222.29x = 42,761,956.29
  5. Step 5: Solve for x
    x = 42,761,956.29/6,222.29
  6. Step 6: Final answer
    x = 6,872.38

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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.