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Finding the Fourth Proportional to 6,516.42, 8,982.18 and 5,097.66

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Solution

The fourth proportional to 6,516.42, 8,982.18 and 5,097.66 is: 7,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.42 : 8,982.18 = 5,097.66 : x
  2. Step 2: Convert to fraction form
    6,516.42/8,982.18 = 5,097.66/x
  3. Step 3: Cross multiply
    6,516.42x = 8,982.18 × 5,097.66
  4. Step 4: Simplify right side
    6,516.42x = 45,788,099.70
  5. Step 5: Solve for x
    x = 45,788,099.70/6,516.42
  6. Step 6: Final answer
    x = 7,026.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.