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Finding the Fourth Proportional to 6,684.86, 9,227.10 and 4,327.16

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Solution

The fourth proportional to 6,684.86, 9,227.10 and 4,327.16 is: 5,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.86 : 9,227.10 = 4,327.16 : x
  2. Step 2: Convert to fraction form
    6,684.86/9,227.10 = 4,327.16/x
  3. Step 3: Cross multiply
    6,684.86x = 9,227.10 × 4,327.16
  4. Step 4: Simplify right side
    6,684.86x = 39,927,091.90
  5. Step 5: Solve for x
    x = 39,927,091.90/6,684.86
  6. Step 6: Final answer
    x = 5,972.77

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1.5x scale

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.