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Finding the Fourth Proportional to 13,792.64, 20,680.84 and 5,465.84

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Solution

The fourth proportional to 13,792.64, 20,680.84 and 5,465.84 is: 8,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.64 : 20,680.84 = 5,465.84 : x
  2. Step 2: Convert to fraction form
    13,792.64/20,680.84 = 5,465.84/x
  3. Step 3: Cross multiply
    13,792.64x = 20,680.84 × 5,465.84
  4. Step 4: Simplify right side
    13,792.64x = 113,038,162.51
  5. Step 5: Solve for x
    x = 113,038,162.51/13,792.64
  6. Step 6: Final answer
    x = 8,195.54

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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.