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Finding the Fourth Proportional to 6,274.92, 8,663.04 and 4,690.32

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Solution

The fourth proportional to 6,274.92, 8,663.04 and 4,690.32 is: 6,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.92 : 8,663.04 = 4,690.32 : x
  2. Step 2: Convert to fraction form
    6,274.92/8,663.04 = 4,690.32/x
  3. Step 3: Cross multiply
    6,274.92x = 8,663.04 × 4,690.32
  4. Step 4: Simplify right side
    6,274.92x = 40,632,429.77
  5. Step 5: Solve for x
    x = 40,632,429.77/6,274.92
  6. Step 6: Final answer
    x = 6,475.37

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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.