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Finding the Fourth Proportional to 15,697.84, 21,662.76 and 8,624.92

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Solution

The fourth proportional to 15,697.84, 21,662.76 and 8,624.92 is: 11,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.84 : 21,662.76 = 8,624.92 : x
  2. Step 2: Convert to fraction form
    15,697.84/21,662.76 = 8,624.92/x
  3. Step 3: Cross multiply
    15,697.84x = 21,662.76 × 8,624.92
  4. Step 4: Simplify right side
    15,697.84x = 186,839,571.98
  5. Step 5: Solve for x
    x = 186,839,571.98/15,697.84
  6. Step 6: Final answer
    x = 11,902.25

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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.