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Finding the Fourth Proportional to 7,970.94, 10,974.74 and 7,232.81

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Solution

The fourth proportional to 7,970.94, 10,974.74 and 7,232.81 is: 9,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.94 : 10,974.74 = 7,232.81 : x
  2. Step 2: Convert to fraction form
    7,970.94/10,974.74 = 7,232.81/x
  3. Step 3: Cross multiply
    7,970.94x = 10,974.74 × 7,232.81
  4. Step 4: Simplify right side
    7,970.94x = 79,378,118.18
  5. Step 5: Solve for x
    x = 79,378,118.18/7,970.94
  6. Step 6: Final answer
    x = 9,958.44

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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.