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Finding the Fourth Proportional to 13,823.84, 20,735.04 and 5,057.84

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Solution

The fourth proportional to 13,823.84, 20,735.04 and 5,057.84 is: 7,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.84 : 20,735.04 = 5,057.84 : x
  2. Step 2: Convert to fraction form
    13,823.84/20,735.04 = 5,057.84/x
  3. Step 3: Cross multiply
    13,823.84x = 20,735.04 × 5,057.84
  4. Step 4: Simplify right side
    13,823.84x = 104,874,514.71
  5. Step 5: Solve for x
    x = 104,874,514.71/13,823.84
  6. Step 6: Final answer
    x = 7,586.50

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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.