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Finding the Fourth Proportional to 7,644.65, 11,451.24 and 7,006.77

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Solution

The fourth proportional to 7,644.65, 11,451.24 and 7,006.77 is: 10,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.65 : 11,451.24 = 7,006.77 : x
  2. Step 2: Convert to fraction form
    7,644.65/11,451.24 = 7,006.77/x
  3. Step 3: Cross multiply
    7,644.65x = 11,451.24 × 7,006.77
  4. Step 4: Simplify right side
    7,644.65x = 80,236,204.89
  5. Step 5: Solve for x
    x = 80,236,204.89/7,644.65
  6. Step 6: Final answer
    x = 10,495.74

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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.