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Finding the Fourth Proportional to 6,594, 9,889.92 and 4,640.28

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Solution

The fourth proportional to 6,594, 9,889.92 and 4,640.28 is: 6,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594 : 9,889.92 = 4,640.28 : x
  2. Step 2: Convert to fraction form
    6,594/9,889.92 = 4,640.28/x
  3. Step 3: Cross multiply
    6,594x = 9,889.92 × 4,640.28
  4. Step 4: Simplify right side
    6,594x = 45,891,997.98
  5. Step 5: Solve for x
    x = 45,891,997.98/6,594
  6. Step 6: Final answer
    x = 6,959.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.