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Finding the Fourth Proportional to 6,324, 8,727.65 and 3,671.23

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Solution

The fourth proportional to 6,324, 8,727.65 and 3,671.23 is: 5,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324 : 8,727.65 = 3,671.23 : x
  2. Step 2: Convert to fraction form
    6,324/8,727.65 = 3,671.23/x
  3. Step 3: Cross multiply
    6,324x = 8,727.65 × 3,671.23
  4. Step 4: Simplify right side
    6,324x = 32,041,210.51
  5. Step 5: Solve for x
    x = 32,041,210.51/6,324
  6. Step 6: Final answer
    x = 5,066.61

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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.