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Finding the Fourth Proportional to 18,597.75, 25,664.90 and 10,214.25

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Solution

The fourth proportional to 18,597.75, 25,664.90 and 10,214.25 is: 14,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,597.75 : 25,664.90 = 10,214.25 : x
  2. Step 2: Convert to fraction form
    18,597.75/25,664.90 = 10,214.25/x
  3. Step 3: Cross multiply
    18,597.75x = 25,664.90 × 10,214.25
  4. Step 4: Simplify right side
    18,597.75x = 262,147,653.75
  5. Step 5: Solve for x
    x = 262,147,653.75/18,597.75
  6. Step 6: Final answer
    x = 14,095.67

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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.