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Finding the Fourth Proportional to 6,345, 8,756.13 and 3,550.50

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Solution

The fourth proportional to 6,345, 8,756.13 and 3,550.50 is: 4,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345 : 8,756.13 = 3,550.50 : x
  2. Step 2: Convert to fraction form
    6,345/8,756.13 = 3,550.50/x
  3. Step 3: Cross multiply
    6,345x = 8,756.13 × 3,550.50
  4. Step 4: Simplify right side
    6,345x = 31,088,639.57
  5. Step 5: Solve for x
    x = 31,088,639.57/6,345
  6. Step 6: Final answer
    x = 4,899.71

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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.