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Finding the Fourth Proportional to 6,459.55, 8,912.84 and 4,224.71

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Solution

The fourth proportional to 6,459.55, 8,912.84 and 4,224.71 is: 5,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.55 : 8,912.84 = 4,224.71 : x
  2. Step 2: Convert to fraction form
    6,459.55/8,912.84 = 4,224.71/x
  3. Step 3: Cross multiply
    6,459.55x = 8,912.84 × 4,224.71
  4. Step 4: Simplify right side
    6,459.55x = 37,654,115.30
  5. Step 5: Solve for x
    x = 37,654,115.30/6,459.55
  6. Step 6: Final answer
    x = 5,829.22

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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.