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Finding the Fourth Proportional to 6,543.92, 9,820.04 and 2,383.53

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Solution

The fourth proportional to 6,543.92, 9,820.04 and 2,383.53 is: 3,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.92 : 9,820.04 = 2,383.53 : x
  2. Step 2: Convert to fraction form
    6,543.92/9,820.04 = 2,383.53/x
  3. Step 3: Cross multiply
    6,543.92x = 9,820.04 × 2,383.53
  4. Step 4: Simplify right side
    6,543.92x = 23,406,348.02
  5. Step 5: Solve for x
    x = 23,406,348.02/6,543.92
  6. Step 6: Final answer
    x = 3,576.81

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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.