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Finding the Fourth Proportional to 8,074.01, 11,072.61 and 7,737.24

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Solution

The fourth proportional to 8,074.01, 11,072.61 and 7,737.24 is: 10,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.01 : 11,072.61 = 7,737.24 : x
  2. Step 2: Convert to fraction form
    8,074.01/11,072.61 = 7,737.24/x
  3. Step 3: Cross multiply
    8,074.01x = 11,072.61 × 7,737.24
  4. Step 4: Simplify right side
    8,074.01x = 85,671,374.63
  5. Step 5: Solve for x
    x = 85,671,374.63/8,074.01
  6. Step 6: Final answer
    x = 10,610.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.