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Finding the Fourth Proportional to 6,370.64, 8,795.57 and 4,103

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Solution

The fourth proportional to 6,370.64, 8,795.57 and 4,103 is: 5,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.64 : 8,795.57 = 4,103 : x
  2. Step 2: Convert to fraction form
    6,370.64/8,795.57 = 4,103/x
  3. Step 3: Cross multiply
    6,370.64x = 8,795.57 × 4,103
  4. Step 4: Simplify right side
    6,370.64x = 36,088,223.71
  5. Step 5: Solve for x
    x = 36,088,223.71/6,370.64
  6. Step 6: Final answer
    x = 5,664.77

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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.