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Finding the Fourth Proportional to 6,684.72, 9,222.03 and 4,166.16

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Solution

The fourth proportional to 6,684.72, 9,222.03 and 4,166.16 is: 5,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.72 : 9,222.03 = 4,166.16 : x
  2. Step 2: Convert to fraction form
    6,684.72/9,222.03 = 4,166.16/x
  3. Step 3: Cross multiply
    6,684.72x = 9,222.03 × 4,166.16
  4. Step 4: Simplify right side
    6,684.72x = 38,420,452.50
  5. Step 5: Solve for x
    x = 38,420,452.50/6,684.72
  6. Step 6: Final answer
    x = 5,747.50

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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.