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Finding the Fourth Proportional to 6,357.04, 9,532 and 2,194.72

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Solution

The fourth proportional to 6,357.04, 9,532 and 2,194.72 is: 3,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.04 : 9,532 = 2,194.72 : x
  2. Step 2: Convert to fraction form
    6,357.04/9,532 = 2,194.72/x
  3. Step 3: Cross multiply
    6,357.04x = 9,532 × 2,194.72
  4. Step 4: Simplify right side
    6,357.04x = 20,920,071.04
  5. Step 5: Solve for x
    x = 20,920,071.04/6,357.04
  6. Step 6: Final answer
    x = 3,290.85

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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.