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Finding the Fourth Proportional to 9,996.69, 14,996.85 and 4,153.77

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Solution

The fourth proportional to 9,996.69, 14,996.85 and 4,153.77 is: 6,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.69 : 14,996.85 = 4,153.77 : x
  2. Step 2: Convert to fraction form
    9,996.69/14,996.85 = 4,153.77/x
  3. Step 3: Cross multiply
    9,996.69x = 14,996.85 × 4,153.77
  4. Step 4: Simplify right side
    9,996.69x = 62,293,465.62
  5. Step 5: Solve for x
    x = 62,293,465.62/9,996.69
  6. Step 6: Final answer
    x = 6,231.41

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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.