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Finding the Fourth Proportional to 6,485.79, 9,728.85 and 2,326.09

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Solution

The fourth proportional to 6,485.79, 9,728.85 and 2,326.09 is: 3,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.79 : 9,728.85 = 2,326.09 : x
  2. Step 2: Convert to fraction form
    6,485.79/9,728.85 = 2,326.09/x
  3. Step 3: Cross multiply
    6,485.79x = 9,728.85 × 2,326.09
  4. Step 4: Simplify right side
    6,485.79x = 22,630,180.70
  5. Step 5: Solve for x
    x = 22,630,180.70/6,485.79
  6. Step 6: Final answer
    x = 3,489.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.