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Finding the Fourth Proportional to 8,993.69, 12,409.82 and 5,014.70

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Solution

The fourth proportional to 8,993.69, 12,409.82 and 5,014.70 is: 6,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.69 : 12,409.82 = 5,014.70 : x
  2. Step 2: Convert to fraction form
    8,993.69/12,409.82 = 5,014.70/x
  3. Step 3: Cross multiply
    8,993.69x = 12,409.82 × 5,014.70
  4. Step 4: Simplify right side
    8,993.69x = 62,231,474.84
  5. Step 5: Solve for x
    x = 62,231,474.84/8,993.69
  6. Step 6: Final answer
    x = 6,919.46

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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.