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Finding the Fourth Proportional to 9,997.58, 14,993.19 and 4,152.75

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Solution

The fourth proportional to 9,997.58, 14,993.19 and 4,152.75 is: 6,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.58 : 14,993.19 = 4,152.75 : x
  2. Step 2: Convert to fraction form
    9,997.58/14,993.19 = 4,152.75/x
  3. Step 3: Cross multiply
    9,997.58x = 14,993.19 × 4,152.75
  4. Step 4: Simplify right side
    9,997.58x = 62,262,969.77
  5. Step 5: Solve for x
    x = 62,262,969.77/9,997.58
  6. Step 6: Final answer
    x = 6,227.81

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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.