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Finding the Fourth Proportional to 6,543.42, 9,815.13 and 3,083.10

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Solution

The fourth proportional to 6,543.42, 9,815.13 and 3,083.10 is: 4,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.42 : 9,815.13 = 3,083.10 : x
  2. Step 2: Convert to fraction form
    6,543.42/9,815.13 = 3,083.10/x
  3. Step 3: Cross multiply
    6,543.42x = 9,815.13 × 3,083.10
  4. Step 4: Simplify right side
    6,543.42x = 30,261,027.30
  5. Step 5: Solve for x
    x = 30,261,027.30/6,543.42
  6. Step 6: Final answer
    x = 4,624.65

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Similar ratio
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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.