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Finding the Fourth Proportional to 7,650.46, 11,516.02 and 6,522.94

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Solution

The fourth proportional to 7,650.46, 11,516.02 and 6,522.94 is: 9,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.46 : 11,516.02 = 6,522.94 : x
  2. Step 2: Convert to fraction form
    7,650.46/11,516.02 = 6,522.94/x
  3. Step 3: Cross multiply
    7,650.46x = 11,516.02 × 6,522.94
  4. Step 4: Simplify right side
    7,650.46x = 75,118,307.50
  5. Step 5: Solve for x
    x = 75,118,307.50/7,650.46
  6. Step 6: Final answer
    x = 9,818.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.