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Finding the Fourth Proportional to 6,467.04, 9,702 and 3,543.84

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Solution

The fourth proportional to 6,467.04, 9,702 and 3,543.84 is: 5,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.04 : 9,702 = 3,543.84 : x
  2. Step 2: Convert to fraction form
    6,467.04/9,702 = 3,543.84/x
  3. Step 3: Cross multiply
    6,467.04x = 9,702 × 3,543.84
  4. Step 4: Simplify right side
    6,467.04x = 34,382,335.68
  5. Step 5: Solve for x
    x = 34,382,335.68/6,467.04
  6. Step 6: Final answer
    x = 5,316.55

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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.