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Finding the Fourth Proportional to 6,321.06, 9,482.70 and 2,160.08

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Solution

The fourth proportional to 6,321.06, 9,482.70 and 2,160.08 is: 3,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.06 : 9,482.70 = 2,160.08 : x
  2. Step 2: Convert to fraction form
    6,321.06/9,482.70 = 2,160.08/x
  3. Step 3: Cross multiply
    6,321.06x = 9,482.70 × 2,160.08
  4. Step 4: Simplify right side
    6,321.06x = 20,483,390.62
  5. Step 5: Solve for x
    x = 20,483,390.62/6,321.06
  6. Step 6: Final answer
    x = 3,240.50

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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.