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Finding the Fourth Proportional to 6,492.96, 9,739.44 and 3,202.74

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Solution

The fourth proportional to 6,492.96, 9,739.44 and 3,202.74 is: 4,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.96 : 9,739.44 = 3,202.74 : x
  2. Step 2: Convert to fraction form
    6,492.96/9,739.44 = 3,202.74/x
  3. Step 3: Cross multiply
    6,492.96x = 9,739.44 × 3,202.74
  4. Step 4: Simplify right side
    6,492.96x = 31,192,894.07
  5. Step 5: Solve for x
    x = 31,192,894.07/6,492.96
  6. Step 6: Final answer
    x = 4,804.11

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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.