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Finding the Fourth Proportional to 6,543.92, 9,820.20 and 3,468.08

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Solution

The fourth proportional to 6,543.92, 9,820.20 and 3,468.08 is: 5,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.92 : 9,820.20 = 3,468.08 : x
  2. Step 2: Convert to fraction form
    6,543.92/9,820.20 = 3,468.08/x
  3. Step 3: Cross multiply
    6,543.92x = 9,820.20 × 3,468.08
  4. Step 4: Simplify right side
    6,543.92x = 34,057,239.22
  5. Step 5: Solve for x
    x = 34,057,239.22/6,543.92
  6. Step 6: Final answer
    x = 5,204.41

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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.