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Finding the Fourth Proportional to 22,599.30, 33,914.50 and 7,808.25

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Solution

The fourth proportional to 22,599.30, 33,914.50 and 7,808.25 is: 11,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,599.30 : 33,914.50 = 7,808.25 : x
  2. Step 2: Convert to fraction form
    22,599.30/33,914.50 = 7,808.25/x
  3. Step 3: Cross multiply
    22,599.30x = 33,914.50 × 7,808.25
  4. Step 4: Simplify right side
    22,599.30x = 264,812,811.51
  5. Step 5: Solve for x
    x = 264,812,811.51/22,599.30
  6. Step 6: Final answer
    x = 11,717.74

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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.