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Finding the Fourth Proportional to 6,546.20, 9,821.04 and 2,386.58

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Solution

The fourth proportional to 6,546.20, 9,821.04 and 2,386.58 is: 3,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.20 : 9,821.04 = 2,386.58 : x
  2. Step 2: Convert to fraction form
    6,546.20/9,821.04 = 2,386.58/x
  3. Step 3: Cross multiply
    6,546.20x = 9,821.04 × 2,386.58
  4. Step 4: Simplify right side
    6,546.20x = 23,438,697.64
  5. Step 5: Solve for x
    x = 23,438,697.64/6,546.20
  6. Step 6: Final answer
    x = 3,580.50

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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.