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Finding the Fourth Proportional to 7,649.93, 10,557.26 and 4,462.72

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Solution

The fourth proportional to 7,649.93, 10,557.26 and 4,462.72 is: 6,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.93 : 10,557.26 = 4,462.72 : x
  2. Step 2: Convert to fraction form
    7,649.93/10,557.26 = 4,462.72/x
  3. Step 3: Cross multiply
    7,649.93x = 10,557.26 × 4,462.72
  4. Step 4: Simplify right side
    7,649.93x = 47,114,063.38
  5. Step 5: Solve for x
    x = 47,114,063.38/7,649.93
  6. Step 6: Final answer
    x = 6,158.76

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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.